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Finding the Fourth Proportional to 100.96, 150.71 and 88.81

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Solution

The fourth proportional to 100.96, 150.71 and 88.81 is: 132.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.96 : 150.71 = 88.81 : x
  2. Step 2: Convert to fraction form
    100.96/150.71 = 88.81/x
  3. Step 3: Cross multiply
    100.96x = 150.71 × 88.81
  4. Step 4: Simplify right side
    100.96x = 13,384.56
  5. Step 5: Solve for x
    x = 13,384.56/100.96
  6. Step 6: Final answer
    x = 132.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.