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Finding the Fourth Proportional to 117.16, 161.76 and 75.74

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Solution

The fourth proportional to 117.16, 161.76 and 75.74 is: 104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.16 : 161.76 = 75.74 : x
  2. Step 2: Convert to fraction form
    117.16/161.76 = 75.74/x
  3. Step 3: Cross multiply
    117.16x = 161.76 × 75.74
  4. Step 4: Simplify right side
    117.16x = 12,251.70
  5. Step 5: Solve for x
    x = 12,251.70/117.16
  6. Step 6: Final answer
    x = 104.57

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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.