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Finding the Fourth Proportional to 117.54, 162.14 and 84.74

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Solution

The fourth proportional to 117.54, 162.14 and 84.74 is: 116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.54 : 162.14 = 84.74 : x
  2. Step 2: Convert to fraction form
    117.54/162.14 = 84.74/x
  3. Step 3: Cross multiply
    117.54x = 162.14 × 84.74
  4. Step 4: Simplify right side
    117.54x = 13,738.51
  5. Step 5: Solve for x
    x = 13,738.51/117.54
  6. Step 6: Final answer
    x = 116.88

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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.