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Finding the Fourth Proportional to 147.42, 203.39 and 84.40

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Solution

The fourth proportional to 147.42, 203.39 and 84.40 is: 116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.42 : 203.39 = 84.40 : x
  2. Step 2: Convert to fraction form
    147.42/203.39 = 84.40/x
  3. Step 3: Cross multiply
    147.42x = 203.39 × 84.40
  4. Step 4: Simplify right side
    147.42x = 17,165.69
  5. Step 5: Solve for x
    x = 17,165.69/147.42
  6. Step 6: Final answer
    x = 116.44

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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.