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Finding the Fourth Proportional to 73.67, 101.53 and 52.91

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Solution

The fourth proportional to 73.67, 101.53 and 52.91 is: 72.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.67 : 101.53 = 52.91 : x
  2. Step 2: Convert to fraction form
    73.67/101.53 = 52.91/x
  3. Step 3: Cross multiply
    73.67x = 101.53 × 52.91
  4. Step 4: Simplify right side
    73.67x = 5,372.07
  5. Step 5: Solve for x
    x = 5,372.07/73.67
  6. Step 6: Final answer
    x = 72.92

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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.