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Finding the Fourth Proportional to 104.26, 143.58 and 89.40

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Solution

The fourth proportional to 104.26, 143.58 and 89.40 is: 123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.26 : 143.58 = 89.40 : x
  2. Step 2: Convert to fraction form
    104.26/143.58 = 89.40/x
  3. Step 3: Cross multiply
    104.26x = 143.58 × 89.40
  4. Step 4: Simplify right side
    104.26x = 12,835.61
  5. Step 5: Solve for x
    x = 12,835.61/104.26
  6. Step 6: Final answer
    x = 123.11

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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.