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Finding the Fourth Proportional to 100.96, 152.06 and 89.68

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Solution

The fourth proportional to 100.96, 152.06 and 89.68 is: 135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.96 : 152.06 = 89.68 : x
  2. Step 2: Convert to fraction form
    100.96/152.06 = 89.68/x
  3. Step 3: Cross multiply
    100.96x = 152.06 × 89.68
  4. Step 4: Simplify right side
    100.96x = 13,636.74
  5. Step 5: Solve for x
    x = 13,636.74/100.96
  6. Step 6: Final answer
    x = 135.07

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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.