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Finding the Fourth Proportional to 52.67, 72.14 and 52.13

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Solution

The fourth proportional to 52.67, 72.14 and 52.13 is: 71.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.67 : 72.14 = 52.13 : x
  2. Step 2: Convert to fraction form
    52.67/72.14 = 52.13/x
  3. Step 3: Cross multiply
    52.67x = 72.14 × 52.13
  4. Step 4: Simplify right side
    52.67x = 3,760.66
  5. Step 5: Solve for x
    x = 3,760.66/52.67
  6. Step 6: Final answer
    x = 71.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.