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Finding the Fourth Proportional to 125.19, 172.66 and 106.83

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Solution

The fourth proportional to 125.19, 172.66 and 106.83 is: 147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.19 : 172.66 = 106.83 : x
  2. Step 2: Convert to fraction form
    125.19/172.66 = 106.83/x
  3. Step 3: Cross multiply
    125.19x = 172.66 × 106.83
  4. Step 4: Simplify right side
    125.19x = 18,445.27
  5. Step 5: Solve for x
    x = 18,445.27/125.19
  6. Step 6: Final answer
    x = 147.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.