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Finding the Fourth Proportional to 73.71, 101.86 and 64.70

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Solution

The fourth proportional to 73.71, 101.86 and 64.70 is: 89.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.71 : 101.86 = 64.70 : x
  2. Step 2: Convert to fraction form
    73.71/101.86 = 64.70/x
  3. Step 3: Cross multiply
    73.71x = 101.86 × 64.70
  4. Step 4: Simplify right side
    73.71x = 6,590.05
  5. Step 5: Solve for x
    x = 6,590.05/73.71
  6. Step 6: Final answer
    x = 89.41

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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.