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Finding the Fourth Proportional to 145.96, 218.52 and 97.78

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Solution

The fourth proportional to 145.96, 218.52 and 97.78 is: 146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.96 : 218.52 = 97.78 : x
  2. Step 2: Convert to fraction form
    145.96/218.52 = 97.78/x
  3. Step 3: Cross multiply
    145.96x = 218.52 × 97.78
  4. Step 4: Simplify right side
    145.96x = 21,366.89
  5. Step 5: Solve for x
    x = 21,366.89/145.96
  6. Step 6: Final answer
    x = 146.39

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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.