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Finding the Fourth Proportional to 159.10, 219.57 and 89.16

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Solution

The fourth proportional to 159.10, 219.57 and 89.16 is: 123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.10 : 219.57 = 89.16 : x
  2. Step 2: Convert to fraction form
    159.10/219.57 = 89.16/x
  3. Step 3: Cross multiply
    159.10x = 219.57 × 89.16
  4. Step 4: Simplify right side
    159.10x = 19,576.86
  5. Step 5: Solve for x
    x = 19,576.86/159.10
  6. Step 6: Final answer
    x = 123.05

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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.