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Finding the Fourth Proportional to 89.02, 132.58 and 83.38

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Solution

The fourth proportional to 89.02, 132.58 and 83.38 is: 124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.02 : 132.58 = 83.38 : x
  2. Step 2: Convert to fraction form
    89.02/132.58 = 83.38/x
  3. Step 3: Cross multiply
    89.02x = 132.58 × 83.38
  4. Step 4: Simplify right side
    89.02x = 11,054.52
  5. Step 5: Solve for x
    x = 11,054.52/89.02
  6. Step 6: Final answer
    x = 124.18

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