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Finding the Fourth Proportional to 147.42, 221.53 and 78.98

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Solution

The fourth proportional to 147.42, 221.53 and 78.98 is: 118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.42 : 221.53 = 78.98 : x
  2. Step 2: Convert to fraction form
    147.42/221.53 = 78.98/x
  3. Step 3: Cross multiply
    147.42x = 221.53 × 78.98
  4. Step 4: Simplify right side
    147.42x = 17,496.44
  5. Step 5: Solve for x
    x = 17,496.44/147.42
  6. Step 6: Final answer
    x = 118.68

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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.