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Finding the Fourth Proportional to 73.67, 101.61 and 52.97

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Solution

The fourth proportional to 73.67, 101.61 and 52.97 is: 73.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.67 : 101.61 = 52.97 : x
  2. Step 2: Convert to fraction form
    73.67/101.61 = 52.97/x
  3. Step 3: Cross multiply
    73.67x = 101.61 × 52.97
  4. Step 4: Simplify right side
    73.67x = 5,381.77
  5. Step 5: Solve for x
    x = 5,381.77/73.67
  6. Step 6: Final answer
    x = 73.06

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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.