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Finding the Fourth Proportional to 52, 77.88 and 31.69

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Solution

The fourth proportional to 52, 77.88 and 31.69 is: 47.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52 : 77.88 = 31.69 : x
  2. Step 2: Convert to fraction form
    52/77.88 = 31.69/x
  3. Step 3: Cross multiply
    52x = 77.88 × 31.69
  4. Step 4: Simplify right side
    52x = 2,468.02
  5. Step 5: Solve for x
    x = 2,468.02/52
  6. Step 6: Final answer
    x = 47.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.