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Finding the Fourth Proportional to 114.61, 157.89 and 81.79

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Solution

The fourth proportional to 114.61, 157.89 and 81.79 is: 112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.61 : 157.89 = 81.79 : x
  2. Step 2: Convert to fraction form
    114.61/157.89 = 81.79/x
  3. Step 3: Cross multiply
    114.61x = 157.89 × 81.79
  4. Step 4: Simplify right side
    114.61x = 12,913.82
  5. Step 5: Solve for x
    x = 12,913.82/114.61
  6. Step 6: Final answer
    x = 112.68

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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.