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Finding the Fourth Proportional to 117.08, 175.80 and 106.46

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Solution

The fourth proportional to 117.08, 175.80 and 106.46 is: 159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.08 : 175.80 = 106.46 : x
  2. Step 2: Convert to fraction form
    117.08/175.80 = 106.46/x
  3. Step 3: Cross multiply
    117.08x = 175.80 × 106.46
  4. Step 4: Simplify right side
    117.08x = 18,715.67
  5. Step 5: Solve for x
    x = 18,715.67/117.08
  6. Step 6: Final answer
    x = 159.85

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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.