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Finding the Fourth Proportional to 52.17, 71.98 and 31.45

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Solution

The fourth proportional to 52.17, 71.98 and 31.45 is: 43.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.17 : 71.98 = 31.45 : x
  2. Step 2: Convert to fraction form
    52.17/71.98 = 31.45/x
  3. Step 3: Cross multiply
    52.17x = 71.98 × 31.45
  4. Step 4: Simplify right side
    52.17x = 2,263.77
  5. Step 5: Solve for x
    x = 2,263.77/52.17
  6. Step 6: Final answer
    x = 43.40

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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.