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Finding the Fourth Proportional to 88.57, 132.96 and 70.75

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Solution

The fourth proportional to 88.57, 132.96 and 70.75 is: 106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.57 : 132.96 = 70.75 : x
  2. Step 2: Convert to fraction form
    88.57/132.96 = 70.75/x
  3. Step 3: Cross multiply
    88.57x = 132.96 × 70.75
  4. Step 4: Simplify right side
    88.57x = 9,406.57
  5. Step 5: Solve for x
    x = 9,406.57/88.57
  6. Step 6: Final answer
    x = 106.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.