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Finding the Fourth Proportional to 67.87, 93.40 and 52.26

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Solution

The fourth proportional to 67.87, 93.40 and 52.26 is: 71.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.87 : 93.40 = 52.26 : x
  2. Step 2: Convert to fraction form
    67.87/93.40 = 52.26/x
  3. Step 3: Cross multiply
    67.87x = 93.40 × 52.26
  4. Step 4: Simplify right side
    67.87x = 4,881.42
  5. Step 5: Solve for x
    x = 4,881.42/67.87
  6. Step 6: Final answer
    x = 71.92

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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.