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Finding the Fourth Proportional to 96.80, 145.26 and 42.74

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Solution

The fourth proportional to 96.80, 145.26 and 42.74 is: 64.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.80 : 145.26 = 42.74 : x
  2. Step 2: Convert to fraction form
    96.80/145.26 = 42.74/x
  3. Step 3: Cross multiply
    96.80x = 145.26 × 42.74
  4. Step 4: Simplify right side
    96.80x = 6,208.41
  5. Step 5: Solve for x
    x = 6,208.41/96.80
  6. Step 6: Final answer
    x = 64.14

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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.