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Finding the Fourth Proportional to 147.48, 220.94 and 78.91

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Solution

The fourth proportional to 147.48, 220.94 and 78.91 is: 118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.48 : 220.94 = 78.91 : x
  2. Step 2: Convert to fraction form
    147.48/220.94 = 78.91/x
  3. Step 3: Cross multiply
    147.48x = 220.94 × 78.91
  4. Step 4: Simplify right side
    147.48x = 17,434.38
  5. Step 5: Solve for x
    x = 17,434.38/147.48
  6. Step 6: Final answer
    x = 118.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.