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Finding the Fourth Proportional to 152.12, 229.22 and 125.66

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Solution

The fourth proportional to 152.12, 229.22 and 125.66 is: 189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.12 : 229.22 = 125.66 : x
  2. Step 2: Convert to fraction form
    152.12/229.22 = 125.66/x
  3. Step 3: Cross multiply
    152.12x = 229.22 × 125.66
  4. Step 4: Simplify right side
    152.12x = 28,802.95
  5. Step 5: Solve for x
    x = 28,802.95/152.12
  6. Step 6: Final answer
    x = 189.35

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