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Finding the Fourth Proportional to 52.17, 77.74 and 49.47

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Solution

The fourth proportional to 52.17, 77.74 and 49.47 is: 73.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.17 : 77.74 = 49.47 : x
  2. Step 2: Convert to fraction form
    52.17/77.74 = 49.47/x
  3. Step 3: Cross multiply
    52.17x = 77.74 × 49.47
  4. Step 4: Simplify right side
    52.17x = 3,845.80
  5. Step 5: Solve for x
    x = 3,845.80/52.17
  6. Step 6: Final answer
    x = 73.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.