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Finding the Fourth Proportional to 104.19, 156.08 and 55.40

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Solution

The fourth proportional to 104.19, 156.08 and 55.40 is: 82.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.19 : 156.08 = 55.40 : x
  2. Step 2: Convert to fraction form
    104.19/156.08 = 55.40/x
  3. Step 3: Cross multiply
    104.19x = 156.08 × 55.40
  4. Step 4: Simplify right side
    104.19x = 8,645.77
  5. Step 5: Solve for x
    x = 8,645.77/104.19
  6. Step 6: Final answer
    x = 82.98

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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.