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Finding the Fourth Proportional to 88.67, 132.08 and 83.05

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Solution

The fourth proportional to 88.67, 132.08 and 83.05 is: 123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.67 : 132.08 = 83.05 : x
  2. Step 2: Convert to fraction form
    88.67/132.08 = 83.05/x
  3. Step 3: Cross multiply
    88.67x = 132.08 × 83.05
  4. Step 4: Simplify right side
    88.67x = 10,968.50
  5. Step 5: Solve for x
    x = 10,968.50/88.67
  6. Step 6: Final answer
    x = 123.70

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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.