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Finding the Fourth Proportional to 78.33, 117.74 and 65.10

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Solution

The fourth proportional to 78.33, 117.74 and 65.10 is: 97.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.33 : 117.74 = 65.10 : x
  2. Step 2: Convert to fraction form
    78.33/117.74 = 65.10/x
  3. Step 3: Cross multiply
    78.33x = 117.74 × 65.10
  4. Step 4: Simplify right side
    78.33x = 7,664.87
  5. Step 5: Solve for x
    x = 7,664.87/78.33
  6. Step 6: Final answer
    x = 97.85

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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.