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Finding the Fourth Proportional to 124.76, 172.24 and 75.67

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Solution

The fourth proportional to 124.76, 172.24 and 75.67 is: 104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.76 : 172.24 = 75.67 : x
  2. Step 2: Convert to fraction form
    124.76/172.24 = 75.67/x
  3. Step 3: Cross multiply
    124.76x = 172.24 × 75.67
  4. Step 4: Simplify right side
    124.76x = 13,032.78
  5. Step 5: Solve for x
    x = 13,032.78/124.76
  6. Step 6: Final answer
    x = 104.46

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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.