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Finding the Fourth Proportional to 96.93, 145.21 and 93.75

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Solution

The fourth proportional to 96.93, 145.21 and 93.75 is: 140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.93 : 145.21 = 93.75 : x
  2. Step 2: Convert to fraction form
    96.93/145.21 = 93.75/x
  3. Step 3: Cross multiply
    96.93x = 145.21 × 93.75
  4. Step 4: Simplify right side
    96.93x = 13,613.44
  5. Step 5: Solve for x
    x = 13,613.44/96.93
  6. Step 6: Final answer
    x = 140.45

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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.