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Finding the Fourth Proportional to 100.90, 151.44 and 55.34

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Solution

The fourth proportional to 100.90, 151.44 and 55.34 is: 83.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.90 : 151.44 = 55.34 : x
  2. Step 2: Convert to fraction form
    100.90/151.44 = 55.34/x
  3. Step 3: Cross multiply
    100.90x = 151.44 × 55.34
  4. Step 4: Simplify right side
    100.90x = 8,380.29
  5. Step 5: Solve for x
    x = 8,380.29/100.90
  6. Step 6: Final answer
    x = 83.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.