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Finding the Fourth Proportional to 65.78, 98.61 and 42.93

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Solution

The fourth proportional to 65.78, 98.61 and 42.93 is: 64.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.78 : 98.61 = 42.93 : x
  2. Step 2: Convert to fraction form
    65.78/98.61 = 42.93/x
  3. Step 3: Cross multiply
    65.78x = 98.61 × 42.93
  4. Step 4: Simplify right side
    65.78x = 4,233.33
  5. Step 5: Solve for x
    x = 4,233.33/65.78
  6. Step 6: Final answer
    x = 64.36

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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.