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Finding the Fourth Proportional to 65.86, 98.62 and 29.72

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Solution

The fourth proportional to 65.86, 98.62 and 29.72 is: 44.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.86 : 98.62 = 29.72 : x
  2. Step 2: Convert to fraction form
    65.86/98.62 = 29.72/x
  3. Step 3: Cross multiply
    65.86x = 98.62 × 29.72
  4. Step 4: Simplify right side
    65.86x = 2,930.99
  5. Step 5: Solve for x
    x = 2,930.99/65.86
  6. Step 6: Final answer
    x = 44.50

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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.