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Finding the Fourth Proportional to 124.32, 185.59 and 108.06

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Solution

The fourth proportional to 124.32, 185.59 and 108.06 is: 161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.32 : 185.59 = 108.06 : x
  2. Step 2: Convert to fraction form
    124.32/185.59 = 108.06/x
  3. Step 3: Cross multiply
    124.32x = 185.59 × 108.06
  4. Step 4: Simplify right side
    124.32x = 20,054.86
  5. Step 5: Solve for x
    x = 20,054.86/124.32
  6. Step 6: Final answer
    x = 161.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.