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Finding the Fourth Proportional to 114.52, 157.96 and 77.66

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Solution

The fourth proportional to 114.52, 157.96 and 77.66 is: 107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.52 : 157.96 = 77.66 : x
  2. Step 2: Convert to fraction form
    114.52/157.96 = 77.66/x
  3. Step 3: Cross multiply
    114.52x = 157.96 × 77.66
  4. Step 4: Simplify right side
    114.52x = 12,267.17
  5. Step 5: Solve for x
    x = 12,267.17/114.52
  6. Step 6: Final answer
    x = 107.12

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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.