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Finding the Fourth Proportional to 88.09, 132.06 and 57.65

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Solution

The fourth proportional to 88.09, 132.06 and 57.65 is: 86.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.09 : 132.06 = 57.65 : x
  2. Step 2: Convert to fraction form
    88.09/132.06 = 57.65/x
  3. Step 3: Cross multiply
    88.09x = 132.06 × 57.65
  4. Step 4: Simplify right side
    88.09x = 7,612.81
  5. Step 5: Solve for x
    x = 7,612.81/88.09
  6. Step 6: Final answer
    x = 86.42

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