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Finding the Fourth Proportional to 99.92, 137.90 and 56.26

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Solution

The fourth proportional to 99.92, 137.90 and 56.26 is: 77.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.92 : 137.90 = 56.26 : x
  2. Step 2: Convert to fraction form
    99.92/137.90 = 56.26/x
  3. Step 3: Cross multiply
    99.92x = 137.90 × 56.26
  4. Step 4: Simplify right side
    99.92x = 7,758.25
  5. Step 5: Solve for x
    x = 7,758.25/99.92
  6. Step 6: Final answer
    x = 77.64

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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.