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Finding the Fourth Proportional to 120.48, 179.76 and 117.71

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Solution

The fourth proportional to 120.48, 179.76 and 117.71 is: 175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.48 : 179.76 = 117.71 : x
  2. Step 2: Convert to fraction form
    120.48/179.76 = 117.71/x
  3. Step 3: Cross multiply
    120.48x = 179.76 × 117.71
  4. Step 4: Simplify right side
    120.48x = 21,159.55
  5. Step 5: Solve for x
    x = 21,159.55/120.48
  6. Step 6: Final answer
    x = 175.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.