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Finding the Fourth Proportional to 114.24, 157.74 and 95.88

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Solution

The fourth proportional to 114.24, 157.74 and 95.88 is: 132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.24 : 157.74 = 95.88 : x
  2. Step 2: Convert to fraction form
    114.24/157.74 = 95.88/x
  3. Step 3: Cross multiply
    114.24x = 157.74 × 95.88
  4. Step 4: Simplify right side
    114.24x = 15,124.11
  5. Step 5: Solve for x
    x = 15,124.11/114.24
  6. Step 6: Final answer
    x = 132.39

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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.