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Finding the Fourth Proportional to 159.53, 220.19 and 97.41

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Solution

The fourth proportional to 159.53, 220.19 and 97.41 is: 134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.53 : 220.19 = 97.41 : x
  2. Step 2: Convert to fraction form
    159.53/220.19 = 97.41/x
  3. Step 3: Cross multiply
    159.53x = 220.19 × 97.41
  4. Step 4: Simplify right side
    159.53x = 21,448.71
  5. Step 5: Solve for x
    x = 21,448.71/159.53
  6. Step 6: Final answer
    x = 134.45

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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.