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Finding the Fourth Proportional to 96.83, 145.32 and 66.45

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Solution

The fourth proportional to 96.83, 145.32 and 66.45 is: 99.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.83 : 145.32 = 66.45 : x
  2. Step 2: Convert to fraction form
    96.83/145.32 = 66.45/x
  3. Step 3: Cross multiply
    96.83x = 145.32 × 66.45
  4. Step 4: Simplify right side
    96.83x = 9,656.81
  5. Step 5: Solve for x
    x = 9,656.81/96.83
  6. Step 6: Final answer
    x = 99.73

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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.