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Finding the Fourth Proportional to 147.54, 203.61 and 85.38

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Solution

The fourth proportional to 147.54, 203.61 and 85.38 is: 117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.54 : 203.61 = 85.38 : x
  2. Step 2: Convert to fraction form
    147.54/203.61 = 85.38/x
  3. Step 3: Cross multiply
    147.54x = 203.61 × 85.38
  4. Step 4: Simplify right side
    147.54x = 17,384.22
  5. Step 5: Solve for x
    x = 17,384.22/147.54
  6. Step 6: Final answer
    x = 117.83

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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.