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Finding the Fourth Proportional to 73.87, 101.84 and 57.47

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Solution

The fourth proportional to 73.87, 101.84 and 57.47 is: 79.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.87 : 101.84 = 57.47 : x
  2. Step 2: Convert to fraction form
    73.87/101.84 = 57.47/x
  3. Step 3: Cross multiply
    73.87x = 101.84 × 57.47
  4. Step 4: Simplify right side
    73.87x = 5,851.95
  5. Step 5: Solve for x
    x = 5,851.95/73.87
  6. Step 6: Final answer
    x = 79.22

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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.