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Finding the Fourth Proportional to 146.02, 218.58 and 91.66

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Solution

The fourth proportional to 146.02, 218.58 and 91.66 is: 137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.02 : 218.58 = 91.66 : x
  2. Step 2: Convert to fraction form
    146.02/218.58 = 91.66/x
  3. Step 3: Cross multiply
    146.02x = 218.58 × 91.66
  4. Step 4: Simplify right side
    146.02x = 20,035.04
  5. Step 5: Solve for x
    x = 20,035.04/146.02
  6. Step 6: Final answer
    x = 137.21

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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.