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Finding the Fourth Proportional to 176.57, 243.64 and 105.66

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Solution

The fourth proportional to 176.57, 243.64 and 105.66 is: 145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.57 : 243.64 = 105.66 : x
  2. Step 2: Convert to fraction form
    176.57/243.64 = 105.66/x
  3. Step 3: Cross multiply
    176.57x = 243.64 × 105.66
  4. Step 4: Simplify right side
    176.57x = 25,743.00
  5. Step 5: Solve for x
    x = 25,743.00/176.57
  6. Step 6: Final answer
    x = 145.79

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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.