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Finding the Fourth Proportional to 106.54, 158.96 and 88.54

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Solution

The fourth proportional to 106.54, 158.96 and 88.54 is: 132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.54 : 158.96 = 88.54 : x
  2. Step 2: Convert to fraction form
    106.54/158.96 = 88.54/x
  3. Step 3: Cross multiply
    106.54x = 158.96 × 88.54
  4. Step 4: Simplify right side
    106.54x = 14,074.32
  5. Step 5: Solve for x
    x = 14,074.32/106.54
  6. Step 6: Final answer
    x = 132.10

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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.