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Finding the Fourth Proportional to 100.20, 149.55 and 91.08

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Solution

The fourth proportional to 100.20, 149.55 and 91.08 is: 135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.20 : 149.55 = 91.08 : x
  2. Step 2: Convert to fraction form
    100.20/149.55 = 91.08/x
  3. Step 3: Cross multiply
    100.20x = 149.55 × 91.08
  4. Step 4: Simplify right side
    100.20x = 13,621.01
  5. Step 5: Solve for x
    x = 13,621.01/100.20
  6. Step 6: Final answer
    x = 135.94

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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.