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Finding the Fourth Proportional to 118.17, 177.37 and 64.10

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Solution

The fourth proportional to 118.17, 177.37 and 64.10 is: 96.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.17 : 177.37 = 64.10 : x
  2. Step 2: Convert to fraction form
    118.17/177.37 = 64.10/x
  3. Step 3: Cross multiply
    118.17x = 177.37 × 64.10
  4. Step 4: Simplify right side
    118.17x = 11,369.70
  5. Step 5: Solve for x
    x = 11,369.70/118.17
  6. Step 6: Final answer
    x = 96.21

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