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Finding the Fourth Proportional to 52.05, 71.84 and 31.35

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Solution

The fourth proportional to 52.05, 71.84 and 31.35 is: 43.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.05 : 71.84 = 31.35 : x
  2. Step 2: Convert to fraction form
    52.05/71.84 = 31.35/x
  3. Step 3: Cross multiply
    52.05x = 71.84 × 31.35
  4. Step 4: Simplify right side
    52.05x = 2,252.18
  5. Step 5: Solve for x
    x = 2,252.18/52.05
  6. Step 6: Final answer
    x = 43.27

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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.