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Finding the Fourth Proportional to 96.59, 145.00 and 73.93

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Solution

The fourth proportional to 96.59, 145.00 and 73.93 is: 110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.59 : 145.00 = 73.93 : x
  2. Step 2: Convert to fraction form
    96.59/145.00 = 73.93/x
  3. Step 3: Cross multiply
    96.59x = 145.00 × 73.93
  4. Step 4: Simplify right side
    96.59x = 10,719.34
  5. Step 5: Solve for x
    x = 10,719.34/96.59
  6. Step 6: Final answer
    x = 110.97

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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.