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Finding the Fourth Proportional to 65.84, 98.69 and 31.60

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Solution

The fourth proportional to 65.84, 98.69 and 31.60 is: 47.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.84 : 98.69 = 31.60 : x
  2. Step 2: Convert to fraction form
    65.84/98.69 = 31.60/x
  3. Step 3: Cross multiply
    65.84x = 98.69 × 31.60
  4. Step 4: Simplify right side
    65.84x = 3,118.20
  5. Step 5: Solve for x
    x = 3,118.20/65.84
  6. Step 6: Final answer
    x = 47.36

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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.