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Finding the Fourth Proportional to 113.98, 157.06 and 87.75

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Solution

The fourth proportional to 113.98, 157.06 and 87.75 is: 120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.98 : 157.06 = 87.75 : x
  2. Step 2: Convert to fraction form
    113.98/157.06 = 87.75/x
  3. Step 3: Cross multiply
    113.98x = 157.06 × 87.75
  4. Step 4: Simplify right side
    113.98x = 13,781.58
  5. Step 5: Solve for x
    x = 13,781.58/113.98
  6. Step 6: Final answer
    x = 120.92

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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.