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Finding the Fourth Proportional to 96.81, 145.35 and 48.75

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Solution

The fourth proportional to 96.81, 145.35 and 48.75 is: 73.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.81 : 145.35 = 48.75 : x
  2. Step 2: Convert to fraction form
    96.81/145.35 = 48.75/x
  3. Step 3: Cross multiply
    96.81x = 145.35 × 48.75
  4. Step 4: Simplify right side
    96.81x = 7,085.81
  5. Step 5: Solve for x
    x = 7,085.81/96.81
  6. Step 6: Final answer
    x = 73.19

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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.