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Finding the Fourth Proportional to 117.30, 161.84 and 75.90

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Solution

The fourth proportional to 117.30, 161.84 and 75.90 is: 104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.30 : 161.84 = 75.90 : x
  2. Step 2: Convert to fraction form
    117.30/161.84 = 75.90/x
  3. Step 3: Cross multiply
    117.30x = 161.84 × 75.90
  4. Step 4: Simplify right side
    117.30x = 12,283.66
  5. Step 5: Solve for x
    x = 12,283.66/117.30
  6. Step 6: Final answer
    x = 104.72

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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.