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Finding the Fourth Proportional to 147.06, 203.06 and 102.87

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Solution

The fourth proportional to 147.06, 203.06 and 102.87 is: 142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.06 : 203.06 = 102.87 : x
  2. Step 2: Convert to fraction form
    147.06/203.06 = 102.87/x
  3. Step 3: Cross multiply
    147.06x = 203.06 × 102.87
  4. Step 4: Simplify right side
    147.06x = 20,888.78
  5. Step 5: Solve for x
    x = 20,888.78/147.06
  6. Step 6: Final answer
    x = 142.04

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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.