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Finding the Fourth Proportional to 120.16, 179.96 and 59.10

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Solution

The fourth proportional to 120.16, 179.96 and 59.10 is: 88.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.16 : 179.96 = 59.10 : x
  2. Step 2: Convert to fraction form
    120.16/179.96 = 59.10/x
  3. Step 3: Cross multiply
    120.16x = 179.96 × 59.10
  4. Step 4: Simplify right side
    120.16x = 10,635.64
  5. Step 5: Solve for x
    x = 10,635.64/120.16
  6. Step 6: Final answer
    x = 88.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.