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Finding the Fourth Proportional to 104.10, 143.60 and 71.40

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Solution

The fourth proportional to 104.10, 143.60 and 71.40 is: 98.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.10 : 143.60 = 71.40 : x
  2. Step 2: Convert to fraction form
    104.10/143.60 = 71.40/x
  3. Step 3: Cross multiply
    104.10x = 143.60 × 71.40
  4. Step 4: Simplify right side
    104.10x = 10,253.04
  5. Step 5: Solve for x
    x = 10,253.04/104.10
  6. Step 6: Final answer
    x = 98.49

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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.