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Finding the Fourth Proportional to 114.10, 157.42 and 74.74

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Solution

The fourth proportional to 114.10, 157.42 and 74.74 is: 103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.10 : 157.42 = 74.74 : x
  2. Step 2: Convert to fraction form
    114.10/157.42 = 74.74/x
  3. Step 3: Cross multiply
    114.10x = 157.42 × 74.74
  4. Step 4: Simplify right side
    114.10x = 11,765.57
  5. Step 5: Solve for x
    x = 11,765.57/114.10
  6. Step 6: Final answer
    x = 103.12

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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.