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Finding the Fourth Proportional to 100.99, 152.26 and 92.08

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Solution

The fourth proportional to 100.99, 152.26 and 92.08 is: 138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.99 : 152.26 = 92.08 : x
  2. Step 2: Convert to fraction form
    100.99/152.26 = 92.08/x
  3. Step 3: Cross multiply
    100.99x = 152.26 × 92.08
  4. Step 4: Simplify right side
    100.99x = 14,020.10
  5. Step 5: Solve for x
    x = 14,020.10/100.99
  6. Step 6: Final answer
    x = 138.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.