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Finding the Fourth Proportional to 73.59, 109.59 and 71.70

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Solution

The fourth proportional to 73.59, 109.59 and 71.70 is: 106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.59 : 109.59 = 71.70 : x
  2. Step 2: Convert to fraction form
    73.59/109.59 = 71.70/x
  3. Step 3: Cross multiply
    73.59x = 109.59 × 71.70
  4. Step 4: Simplify right side
    73.59x = 7,857.60
  5. Step 5: Solve for x
    x = 7,857.60/73.59
  6. Step 6: Final answer
    x = 106.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.