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Finding the Fourth Proportional to 52.01, 71.78 and 31.30

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Solution

The fourth proportional to 52.01, 71.78 and 31.30 is: 43.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.01 : 71.78 = 31.30 : x
  2. Step 2: Convert to fraction form
    52.01/71.78 = 31.30/x
  3. Step 3: Cross multiply
    52.01x = 71.78 × 31.30
  4. Step 4: Simplify right side
    52.01x = 2,246.45
  5. Step 5: Solve for x
    x = 2,246.45/52.01
  6. Step 6: Final answer
    x = 43.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.