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Finding the Fourth Proportional to 71.98, 99.18 and 61.64

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Solution

The fourth proportional to 71.98, 99.18 and 61.64 is: 84.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.98 : 99.18 = 61.64 : x
  2. Step 2: Convert to fraction form
    71.98/99.18 = 61.64/x
  3. Step 3: Cross multiply
    71.98x = 99.18 × 61.64
  4. Step 4: Simplify right side
    71.98x = 6,113.46
  5. Step 5: Solve for x
    x = 6,113.46/71.98
  6. Step 6: Final answer
    x = 84.93

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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.