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Finding the Fourth Proportional to 52.19, 71.98 and 31.46

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Solution

The fourth proportional to 52.19, 71.98 and 31.46 is: 43.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.19 : 71.98 = 31.46 : x
  2. Step 2: Convert to fraction form
    52.19/71.98 = 31.46/x
  3. Step 3: Cross multiply
    52.19x = 71.98 × 31.46
  4. Step 4: Simplify right side
    52.19x = 2,264.49
  5. Step 5: Solve for x
    x = 2,264.49/52.19
  6. Step 6: Final answer
    x = 43.39

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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.