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Finding the Fourth Proportional to 67.48, 100.79 and 56.58

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Solution

The fourth proportional to 67.48, 100.79 and 56.58 is: 84.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.48 : 100.79 = 56.58 : x
  2. Step 2: Convert to fraction form
    67.48/100.79 = 56.58/x
  3. Step 3: Cross multiply
    67.48x = 100.79 × 56.58
  4. Step 4: Simplify right side
    67.48x = 5,702.70
  5. Step 5: Solve for x
    x = 5,702.70/67.48
  6. Step 6: Final answer
    x = 84.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.