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Finding the Fourth Proportional to 52.32, 77.82 and 52.14

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Solution

The fourth proportional to 52.32, 77.82 and 52.14 is: 77.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.32 : 77.82 = 52.14 : x
  2. Step 2: Convert to fraction form
    52.32/77.82 = 52.14/x
  3. Step 3: Cross multiply
    52.32x = 77.82 × 52.14
  4. Step 4: Simplify right side
    52.32x = 4,057.53
  5. Step 5: Solve for x
    x = 4,057.53/52.32
  6. Step 6: Final answer
    x = 77.55

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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.