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Finding the Fourth Proportional to 104.63, 144.32 and 71.46

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Solution

The fourth proportional to 104.63, 144.32 and 71.46 is: 98.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.63 : 144.32 = 71.46 : x
  2. Step 2: Convert to fraction form
    104.63/144.32 = 71.46/x
  3. Step 3: Cross multiply
    104.63x = 144.32 × 71.46
  4. Step 4: Simplify right side
    104.63x = 10,312.75
  5. Step 5: Solve for x
    x = 10,312.75/104.63
  6. Step 6: Final answer
    x = 98.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.