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Finding the Fourth Proportional to 157.05, 216.86 and 101.79

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Solution

The fourth proportional to 157.05, 216.86 and 101.79 is: 140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.05 : 216.86 = 101.79 : x
  2. Step 2: Convert to fraction form
    157.05/216.86 = 101.79/x
  3. Step 3: Cross multiply
    157.05x = 216.86 × 101.79
  4. Step 4: Simplify right side
    157.05x = 22,073.67
  5. Step 5: Solve for x
    x = 22,073.67/157.05
  6. Step 6: Final answer
    x = 140.55

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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.