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Finding the Fourth Proportional to 109, 162.77 and 88.66

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Solution

The fourth proportional to 109, 162.77 and 88.66 is: 132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109 : 162.77 = 88.66 : x
  2. Step 2: Convert to fraction form
    109/162.77 = 88.66/x
  3. Step 3: Cross multiply
    109x = 162.77 × 88.66
  4. Step 4: Simplify right side
    109x = 14,431.19
  5. Step 5: Solve for x
    x = 14,431.19/109
  6. Step 6: Final answer
    x = 132.40

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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.