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Finding the Fourth Proportional to 113.80, 157.12 and 74.50

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Solution

The fourth proportional to 113.80, 157.12 and 74.50 is: 102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.80 : 157.12 = 74.50 : x
  2. Step 2: Convert to fraction form
    113.80/157.12 = 74.50/x
  3. Step 3: Cross multiply
    113.80x = 157.12 × 74.50
  4. Step 4: Simplify right side
    113.80x = 11,705.44
  5. Step 5: Solve for x
    x = 11,705.44/113.80
  6. Step 6: Final answer
    x = 102.86

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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.