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Finding the Fourth Proportional to 117.82, 162.51 and 74.14

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Solution

The fourth proportional to 117.82, 162.51 and 74.14 is: 102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.82 : 162.51 = 74.14 : x
  2. Step 2: Convert to fraction form
    117.82/162.51 = 74.14/x
  3. Step 3: Cross multiply
    117.82x = 162.51 × 74.14
  4. Step 4: Simplify right side
    117.82x = 12,048.49
  5. Step 5: Solve for x
    x = 12,048.49/117.82
  6. Step 6: Final answer
    x = 102.26

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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.