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Finding the Fourth Proportional to 52.61, 72.56 and 34.20

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Solution

The fourth proportional to 52.61, 72.56 and 34.20 is: 47.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.61 : 72.56 = 34.20 : x
  2. Step 2: Convert to fraction form
    52.61/72.56 = 34.20/x
  3. Step 3: Cross multiply
    52.61x = 72.56 × 34.20
  4. Step 4: Simplify right side
    52.61x = 2,481.38
  5. Step 5: Solve for x
    x = 2,481.38/52.61
  6. Step 6: Final answer
    x = 47.17

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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.