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Finding the Fourth Proportional to 78.02, 116.73 and 59.75

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Solution

The fourth proportional to 78.02, 116.73 and 59.75 is: 89.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.02 : 116.73 = 59.75 : x
  2. Step 2: Convert to fraction form
    78.02/116.73 = 59.75/x
  3. Step 3: Cross multiply
    78.02x = 116.73 × 59.75
  4. Step 4: Simplify right side
    78.02x = 6,974.62
  5. Step 5: Solve for x
    x = 6,974.62/78.02
  6. Step 6: Final answer
    x = 89.40

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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.