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Finding the Fourth Proportional to 114.86, 158.54 and 101.79

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Solution

The fourth proportional to 114.86, 158.54 and 101.79 is: 140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.86 : 158.54 = 101.79 : x
  2. Step 2: Convert to fraction form
    114.86/158.54 = 101.79/x
  3. Step 3: Cross multiply
    114.86x = 158.54 × 101.79
  4. Step 4: Simplify right side
    114.86x = 16,137.79
  5. Step 5: Solve for x
    x = 16,137.79/114.86
  6. Step 6: Final answer
    x = 140.50

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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.