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Finding the Fourth Proportional to 52.02, 77.86 and 31.64

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Solution

The fourth proportional to 52.02, 77.86 and 31.64 is: 47.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.02 : 77.86 = 31.64 : x
  2. Step 2: Convert to fraction form
    52.02/77.86 = 31.64/x
  3. Step 3: Cross multiply
    52.02x = 77.86 × 31.64
  4. Step 4: Simplify right side
    52.02x = 2,463.10
  5. Step 5: Solve for x
    x = 2,463.10/52.02
  6. Step 6: Final answer
    x = 47.35

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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.