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Finding the Fourth Proportional to 88.65, 122.09 and 64.05

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Solution

The fourth proportional to 88.65, 122.09 and 64.05 is: 88.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.65 : 122.09 = 64.05 : x
  2. Step 2: Convert to fraction form
    88.65/122.09 = 64.05/x
  3. Step 3: Cross multiply
    88.65x = 122.09 × 64.05
  4. Step 4: Simplify right side
    88.65x = 7,819.54
  5. Step 5: Solve for x
    x = 7,819.54/88.65
  6. Step 6: Final answer
    x = 88.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.