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Finding the Fourth Proportional to 118.48, 177.36 and 102.64

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Solution

The fourth proportional to 118.48, 177.36 and 102.64 is: 153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.48 : 177.36 = 102.64 : x
  2. Step 2: Convert to fraction form
    118.48/177.36 = 102.64/x
  3. Step 3: Cross multiply
    118.48x = 177.36 × 102.64
  4. Step 4: Simplify right side
    118.48x = 18,204.23
  5. Step 5: Solve for x
    x = 18,204.23/118.48
  6. Step 6: Final answer
    x = 153.65

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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.