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Finding the Fourth Proportional to 96.94, 145.46 and 42.85

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Solution

The fourth proportional to 96.94, 145.46 and 42.85 is: 64.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.94 : 145.46 = 42.85 : x
  2. Step 2: Convert to fraction form
    96.94/145.46 = 42.85/x
  3. Step 3: Cross multiply
    96.94x = 145.46 × 42.85
  4. Step 4: Simplify right side
    96.94x = 6,232.96
  5. Step 5: Solve for x
    x = 6,232.96/96.94
  6. Step 6: Final answer
    x = 64.30

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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.