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Finding the Fourth Proportional to 52.47, 72.25 and 45.90

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Solution

The fourth proportional to 52.47, 72.25 and 45.90 is: 63.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.47 : 72.25 = 45.90 : x
  2. Step 2: Convert to fraction form
    52.47/72.25 = 45.90/x
  3. Step 3: Cross multiply
    52.47x = 72.25 × 45.90
  4. Step 4: Simplify right side
    52.47x = 3,316.28
  5. Step 5: Solve for x
    x = 3,316.28/52.47
  6. Step 6: Final answer
    x = 63.20

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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.