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Finding the Fourth Proportional to 52.04, 71.80 and 31.31

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Solution

The fourth proportional to 52.04, 71.80 and 31.31 is: 43.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.04 : 71.80 = 31.31 : x
  2. Step 2: Convert to fraction form
    52.04/71.80 = 31.31/x
  3. Step 3: Cross multiply
    52.04x = 71.80 × 31.31
  4. Step 4: Simplify right side
    52.04x = 2,248.06
  5. Step 5: Solve for x
    x = 2,248.06/52.04
  6. Step 6: Final answer
    x = 43.20

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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.