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Finding the Fourth Proportional to 119.64, 179.42 and 42.58

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Solution

The fourth proportional to 119.64, 179.42 and 42.58 is: 63.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.64 : 179.42 = 42.58 : x
  2. Step 2: Convert to fraction form
    119.64/179.42 = 42.58/x
  3. Step 3: Cross multiply
    119.64x = 179.42 × 42.58
  4. Step 4: Simplify right side
    119.64x = 7,639.84
  5. Step 5: Solve for x
    x = 7,639.84/119.64
  6. Step 6: Final answer
    x = 63.86

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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.