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Finding the Fourth Proportional to 176.49, 243.55 and 106.55

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Solution

The fourth proportional to 176.49, 243.55 and 106.55 is: 147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.49 : 243.55 = 106.55 : x
  2. Step 2: Convert to fraction form
    176.49/243.55 = 106.55/x
  3. Step 3: Cross multiply
    176.49x = 243.55 × 106.55
  4. Step 4: Simplify right side
    176.49x = 25,948.77
  5. Step 5: Solve for x
    x = 25,948.77/176.49
  6. Step 6: Final answer
    x = 147.03

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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.