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Finding the Fourth Proportional to 100.72, 150.86 and 64.47

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Solution

The fourth proportional to 100.72, 150.86 and 64.47 is: 96.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.72 : 150.86 = 64.47 : x
  2. Step 2: Convert to fraction form
    100.72/150.86 = 64.47/x
  3. Step 3: Cross multiply
    100.72x = 150.86 × 64.47
  4. Step 4: Simplify right side
    100.72x = 9,725.94
  5. Step 5: Solve for x
    x = 9,725.94/100.72
  6. Step 6: Final answer
    x = 96.56

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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.