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Finding the Fourth Proportional to 100.86, 150.23 and 96.18

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Solution

The fourth proportional to 100.86, 150.23 and 96.18 is: 143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.86 : 150.23 = 96.18 : x
  2. Step 2: Convert to fraction form
    100.86/150.23 = 96.18/x
  3. Step 3: Cross multiply
    100.86x = 150.23 × 96.18
  4. Step 4: Simplify right side
    100.86x = 14,449.12
  5. Step 5: Solve for x
    x = 14,449.12/100.86
  6. Step 6: Final answer
    x = 143.26

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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.