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Finding the Fourth Proportional to 52.32, 78.14 and 49.68

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Solution

The fourth proportional to 52.32, 78.14 and 49.68 is: 74.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.32 : 78.14 = 49.68 : x
  2. Step 2: Convert to fraction form
    52.32/78.14 = 49.68/x
  3. Step 3: Cross multiply
    52.32x = 78.14 × 49.68
  4. Step 4: Simplify right side
    52.32x = 3,882.00
  5. Step 5: Solve for x
    x = 3,882.00/52.32
  6. Step 6: Final answer
    x = 74.20

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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.