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Finding the Fourth Proportional to 71.89, 99.02 and 64.60

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Solution

The fourth proportional to 71.89, 99.02 and 64.60 is: 88.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.89 : 99.02 = 64.60 : x
  2. Step 2: Convert to fraction form
    71.89/99.02 = 64.60/x
  3. Step 3: Cross multiply
    71.89x = 99.02 × 64.60
  4. Step 4: Simplify right side
    71.89x = 6,396.61
  5. Step 5: Solve for x
    x = 6,396.61/71.89
  6. Step 6: Final answer
    x = 88.98

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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.