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Finding the Fourth Proportional to 106.08, 158.32 and 88.08

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Solution

The fourth proportional to 106.08, 158.32 and 88.08 is: 131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.08 : 158.32 = 88.08 : x
  2. Step 2: Convert to fraction form
    106.08/158.32 = 88.08/x
  3. Step 3: Cross multiply
    106.08x = 158.32 × 88.08
  4. Step 4: Simplify right side
    106.08x = 13,944.83
  5. Step 5: Solve for x
    x = 13,944.83/106.08
  6. Step 6: Final answer
    x = 131.46

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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.