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Finding the Fourth Proportional to 100.74, 151.69 and 89.40

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Solution

The fourth proportional to 100.74, 151.69 and 89.40 is: 134.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.74 : 151.69 = 89.40 : x
  2. Step 2: Convert to fraction form
    100.74/151.69 = 89.40/x
  3. Step 3: Cross multiply
    100.74x = 151.69 × 89.40
  4. Step 4: Simplify right side
    100.74x = 13,561.09
  5. Step 5: Solve for x
    x = 13,561.09/100.74
  6. Step 6: Final answer
    x = 134.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.