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Finding the Fourth Proportional to 159.54, 220.16 and 89.60

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Solution

The fourth proportional to 159.54, 220.16 and 89.60 is: 123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.54 : 220.16 = 89.60 : x
  2. Step 2: Convert to fraction form
    159.54/220.16 = 89.60/x
  3. Step 3: Cross multiply
    159.54x = 220.16 × 89.60
  4. Step 4: Simplify right side
    159.54x = 19,727.11
  5. Step 5: Solve for x
    x = 19,727.11/159.54
  6. Step 6: Final answer
    x = 123.65

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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.