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Finding the Fourth Proportional to 96.83, 145.04 and 78.60

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Solution

The fourth proportional to 96.83, 145.04 and 78.60 is: 117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.83 : 145.04 = 78.60 : x
  2. Step 2: Convert to fraction form
    96.83/145.04 = 78.60/x
  3. Step 3: Cross multiply
    96.83x = 145.04 × 78.60
  4. Step 4: Simplify right side
    96.83x = 11,399.75
  5. Step 5: Solve for x
    x = 11,399.75/96.83
  6. Step 6: Final answer
    x = 117.74

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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.