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Finding the Fourth Proportional to 118.32, 177.24 and 70.14

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Solution

The fourth proportional to 118.32, 177.24 and 70.14 is: 105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.32 : 177.24 = 70.14 : x
  2. Step 2: Convert to fraction form
    118.32/177.24 = 70.14/x
  3. Step 3: Cross multiply
    118.32x = 177.24 × 70.14
  4. Step 4: Simplify right side
    118.32x = 12,431.61
  5. Step 5: Solve for x
    x = 12,431.61/118.32
  6. Step 6: Final answer
    x = 105.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.