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Finding the Fourth Proportional to 147.14, 203.02 and 84.95

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Solution

The fourth proportional to 147.14, 203.02 and 84.95 is: 117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.14 : 203.02 = 84.95 : x
  2. Step 2: Convert to fraction form
    147.14/203.02 = 84.95/x
  3. Step 3: Cross multiply
    147.14x = 203.02 × 84.95
  4. Step 4: Simplify right side
    147.14x = 17,246.55
  5. Step 5: Solve for x
    x = 17,246.55/147.14
  6. Step 6: Final answer
    x = 117.22

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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.