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Finding the Fourth Proportional to 88.70, 132.14 and 83.48

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Solution

The fourth proportional to 88.70, 132.14 and 83.48 is: 124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.70 : 132.14 = 83.48 : x
  2. Step 2: Convert to fraction form
    88.70/132.14 = 83.48/x
  3. Step 3: Cross multiply
    88.70x = 132.14 × 83.48
  4. Step 4: Simplify right side
    88.70x = 11,030.60
  5. Step 5: Solve for x
    x = 11,030.60/88.70
  6. Step 6: Final answer
    x = 124.37

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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.