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Finding the Fourth Proportional to 99.89, 137.85 and 56.23

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Solution

The fourth proportional to 99.89, 137.85 and 56.23 is: 77.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.89 : 137.85 = 56.23 : x
  2. Step 2: Convert to fraction form
    99.89/137.85 = 56.23/x
  3. Step 3: Cross multiply
    99.89x = 137.85 × 56.23
  4. Step 4: Simplify right side
    99.89x = 7,750.34
  5. Step 5: Solve for x
    x = 7,750.34/99.89
  6. Step 6: Final answer
    x = 77.59

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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.