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Finding the Fourth Proportional to 71.78, 99.10 and 64.49

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Solution

The fourth proportional to 71.78, 99.10 and 64.49 is: 89.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.78 : 99.10 = 64.49 : x
  2. Step 2: Convert to fraction form
    71.78/99.10 = 64.49/x
  3. Step 3: Cross multiply
    71.78x = 99.10 × 64.49
  4. Step 4: Simplify right side
    71.78x = 6,390.96
  5. Step 5: Solve for x
    x = 6,390.96/71.78
  6. Step 6: Final answer
    x = 89.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.