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Finding the Fourth Proportional to 100.34, 149.77 and 84.08

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Solution

The fourth proportional to 100.34, 149.77 and 84.08 is: 125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.34 : 149.77 = 84.08 : x
  2. Step 2: Convert to fraction form
    100.34/149.77 = 84.08/x
  3. Step 3: Cross multiply
    100.34x = 149.77 × 84.08
  4. Step 4: Simplify right side
    100.34x = 12,592.66
  5. Step 5: Solve for x
    x = 12,592.66/100.34
  6. Step 6: Final answer
    x = 125.50

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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.