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Finding the Fourth Proportional to 52.01, 78.03 and 31.70

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Solution

The fourth proportional to 52.01, 78.03 and 31.70 is: 47.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.01 : 78.03 = 31.70 : x
  2. Step 2: Convert to fraction form
    52.01/78.03 = 31.70/x
  3. Step 3: Cross multiply
    52.01x = 78.03 × 31.70
  4. Step 4: Simplify right side
    52.01x = 2,473.75
  5. Step 5: Solve for x
    x = 2,473.75/52.01
  6. Step 6: Final answer
    x = 47.56

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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.