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Finding the Fourth Proportional to 147.78, 203.86 and 95.27

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Solution

The fourth proportional to 147.78, 203.86 and 95.27 is: 131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.78 : 203.86 = 95.27 : x
  2. Step 2: Convert to fraction form
    147.78/203.86 = 95.27/x
  3. Step 3: Cross multiply
    147.78x = 203.86 × 95.27
  4. Step 4: Simplify right side
    147.78x = 19,421.74
  5. Step 5: Solve for x
    x = 19,421.74/147.78
  6. Step 6: Final answer
    x = 131.42

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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.