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Finding the Fourth Proportional to 116.60, 174.84 and 55.76

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Solution

The fourth proportional to 116.60, 174.84 and 55.76 is: 83.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.60 : 174.84 = 55.76 : x
  2. Step 2: Convert to fraction form
    116.60/174.84 = 55.76/x
  3. Step 3: Cross multiply
    116.60x = 174.84 × 55.76
  4. Step 4: Simplify right side
    116.60x = 9,749.08
  5. Step 5: Solve for x
    x = 9,749.08/116.60
  6. Step 6: Final answer
    x = 83.61

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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.