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Finding the Fourth Proportional to 113.95, 157.25 and 62.20

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Solution

The fourth proportional to 113.95, 157.25 and 62.20 is: 85.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.95 : 157.25 = 62.20 : x
  2. Step 2: Convert to fraction form
    113.95/157.25 = 62.20/x
  3. Step 3: Cross multiply
    113.95x = 157.25 × 62.20
  4. Step 4: Simplify right side
    113.95x = 9,780.95
  5. Step 5: Solve for x
    x = 9,780.95/113.95
  6. Step 6: Final answer
    x = 85.84

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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.