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Finding the Fourth Proportional to 67.76, 93.42 and 52.98

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Solution

The fourth proportional to 67.76, 93.42 and 52.98 is: 73.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.76 : 93.42 = 52.98 : x
  2. Step 2: Convert to fraction form
    67.76/93.42 = 52.98/x
  3. Step 3: Cross multiply
    67.76x = 93.42 × 52.98
  4. Step 4: Simplify right side
    67.76x = 4,949.04
  5. Step 5: Solve for x
    x = 4,949.04/67.76
  6. Step 6: Final answer
    x = 73.04

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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.