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Finding the Fourth Proportional to 159.63, 220.31 and 101.53

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Solution

The fourth proportional to 159.63, 220.31 and 101.53 is: 140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.63 : 220.31 = 101.53 : x
  2. Step 2: Convert to fraction form
    159.63/220.31 = 101.53/x
  3. Step 3: Cross multiply
    159.63x = 220.31 × 101.53
  4. Step 4: Simplify right side
    159.63x = 22,368.07
  5. Step 5: Solve for x
    x = 22,368.07/159.63
  6. Step 6: Final answer
    x = 140.12

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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.