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Finding the Fourth Proportional to 118.71, 177.06 and 102.54

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Solution

The fourth proportional to 118.71, 177.06 and 102.54 is: 152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.71 : 177.06 = 102.54 : x
  2. Step 2: Convert to fraction form
    118.71/177.06 = 102.54/x
  3. Step 3: Cross multiply
    118.71x = 177.06 × 102.54
  4. Step 4: Simplify right side
    118.71x = 18,155.73
  5. Step 5: Solve for x
    x = 18,155.73/118.71
  6. Step 6: Final answer
    x = 152.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.