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Finding the Fourth Proportional to 104.48, 156.80 and 76

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Solution

The fourth proportional to 104.48, 156.80 and 76 is: 114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.48 : 156.80 = 76 : x
  2. Step 2: Convert to fraction form
    104.48/156.80 = 76/x
  3. Step 3: Cross multiply
    104.48x = 156.80 × 76
  4. Step 4: Simplify right side
    104.48x = 11,916.80
  5. Step 5: Solve for x
    x = 11,916.80/104.48
  6. Step 6: Final answer
    x = 114.06

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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.