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Finding the Fourth Proportional to 52.96, 73.14 and 47.24

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Solution

The fourth proportional to 52.96, 73.14 and 47.24 is: 65.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.96 : 73.14 = 47.24 : x
  2. Step 2: Convert to fraction form
    52.96/73.14 = 47.24/x
  3. Step 3: Cross multiply
    52.96x = 73.14 × 47.24
  4. Step 4: Simplify right side
    52.96x = 3,454.95
  5. Step 5: Solve for x
    x = 3,454.95/52.96
  6. Step 6: Final answer
    x = 65.24

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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.