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Finding the Fourth Proportional to 159.88, 220.64 and 101.63

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Solution

The fourth proportional to 159.88, 220.64 and 101.63 is: 140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.88 : 220.64 = 101.63 : x
  2. Step 2: Convert to fraction form
    159.88/220.64 = 101.63/x
  3. Step 3: Cross multiply
    159.88x = 220.64 × 101.63
  4. Step 4: Simplify right side
    159.88x = 22,422.03
  5. Step 5: Solve for x
    x = 22,422.03/159.88
  6. Step 6: Final answer
    x = 140.25

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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.