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Finding the Fourth Proportional to 52.48, 78.17 and 49.60

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Solution

The fourth proportional to 52.48, 78.17 and 49.60 is: 73.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.48 : 78.17 = 49.60 : x
  2. Step 2: Convert to fraction form
    52.48/78.17 = 49.60/x
  3. Step 3: Cross multiply
    52.48x = 78.17 × 49.60
  4. Step 4: Simplify right side
    52.48x = 3,877.23
  5. Step 5: Solve for x
    x = 3,877.23/52.48
  6. Step 6: Final answer
    x = 73.88

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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.