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Finding the Fourth Proportional to 114.11, 157.12 and 87.91

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Solution

The fourth proportional to 114.11, 157.12 and 87.91 is: 121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.11 : 157.12 = 87.91 : x
  2. Step 2: Convert to fraction form
    114.11/157.12 = 87.91/x
  3. Step 3: Cross multiply
    114.11x = 157.12 × 87.91
  4. Step 4: Simplify right side
    114.11x = 13,812.42
  5. Step 5: Solve for x
    x = 13,812.42/114.11
  6. Step 6: Final answer
    x = 121.04

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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.