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Finding the Fourth Proportional to 176.54, 243.64 and 106.58

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Solution

The fourth proportional to 176.54, 243.64 and 106.58 is: 147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.54 : 243.64 = 106.58 : x
  2. Step 2: Convert to fraction form
    176.54/243.64 = 106.58/x
  3. Step 3: Cross multiply
    176.54x = 243.64 × 106.58
  4. Step 4: Simplify right side
    176.54x = 25,967.15
  5. Step 5: Solve for x
    x = 25,967.15/176.54
  6. Step 6: Final answer
    x = 147.09

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Why These Related Problems?

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