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Finding the Fourth Proportional to 96.97, 145.46 and 47.53

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Solution

The fourth proportional to 96.97, 145.46 and 47.53 is: 71.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.97 : 145.46 = 47.53 : x
  2. Step 2: Convert to fraction form
    96.97/145.46 = 47.53/x
  3. Step 3: Cross multiply
    96.97x = 145.46 × 47.53
  4. Step 4: Simplify right side
    96.97x = 6,913.71
  5. Step 5: Solve for x
    x = 6,913.71/96.97
  6. Step 6: Final answer
    x = 71.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.