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Finding the Fourth Proportional to 104.53, 144.10 and 89.71

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Solution

The fourth proportional to 104.53, 144.10 and 89.71 is: 123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.53 : 144.10 = 89.71 : x
  2. Step 2: Convert to fraction form
    104.53/144.10 = 89.71/x
  3. Step 3: Cross multiply
    104.53x = 144.10 × 89.71
  4. Step 4: Simplify right side
    104.53x = 12,927.21
  5. Step 5: Solve for x
    x = 12,927.21/104.53
  6. Step 6: Final answer
    x = 123.67

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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.