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Finding the Fourth Proportional to 176.47, 243.54 and 106.54

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Solution

The fourth proportional to 176.47, 243.54 and 106.54 is: 147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.47 : 243.54 = 106.54 : x
  2. Step 2: Convert to fraction form
    176.47/243.54 = 106.54/x
  3. Step 3: Cross multiply
    176.47x = 243.54 × 106.54
  4. Step 4: Simplify right side
    176.47x = 25,946.22
  5. Step 5: Solve for x
    x = 25,946.22/176.47
  6. Step 6: Final answer
    x = 147.03

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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.