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Finding the Fourth Proportional to 71.67, 99 and 64.38

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Solution

The fourth proportional to 71.67, 99 and 64.38 is: 88.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.67 : 99 = 64.38 : x
  2. Step 2: Convert to fraction form
    71.67/99 = 64.38/x
  3. Step 3: Cross multiply
    71.67x = 99 × 64.38
  4. Step 4: Simplify right side
    71.67x = 6,373.62
  5. Step 5: Solve for x
    x = 6,373.62/71.67
  6. Step 6: Final answer
    x = 88.93

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Why These Related Problems?

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