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Finding the Fourth Proportional to 117.32, 162.14 and 113.06

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Solution

The fourth proportional to 117.32, 162.14 and 113.06 is: 156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.32 : 162.14 = 113.06 : x
  2. Step 2: Convert to fraction form
    117.32/162.14 = 113.06/x
  3. Step 3: Cross multiply
    117.32x = 162.14 × 113.06
  4. Step 4: Simplify right side
    117.32x = 18,331.39
  5. Step 5: Solve for x
    x = 18,331.39/117.32
  6. Step 6: Final answer
    x = 156.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.