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Finding the Fourth Proportional to 147.09, 203.16 and 100.39

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Solution

The fourth proportional to 147.09, 203.16 and 100.39 is: 138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.09 : 203.16 = 100.39 : x
  2. Step 2: Convert to fraction form
    147.09/203.16 = 100.39/x
  3. Step 3: Cross multiply
    147.09x = 203.16 × 100.39
  4. Step 4: Simplify right side
    147.09x = 20,395.23
  5. Step 5: Solve for x
    x = 20,395.23/147.09
  6. Step 6: Final answer
    x = 138.66

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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.