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Finding the Fourth Proportional to 104.46, 156.64 and 53.13

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Solution

The fourth proportional to 104.46, 156.64 and 53.13 is: 79.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.46 : 156.64 = 53.13 : x
  2. Step 2: Convert to fraction form
    104.46/156.64 = 53.13/x
  3. Step 3: Cross multiply
    104.46x = 156.64 × 53.13
  4. Step 4: Simplify right side
    104.46x = 8,321.50
  5. Step 5: Solve for x
    x = 8,321.50/104.46
  6. Step 6: Final answer
    x = 79.66

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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.