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Finding the Fourth Proportional to 65.83, 98.72 and 31.57

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Solution

The fourth proportional to 65.83, 98.72 and 31.57 is: 47.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.83 : 98.72 = 31.57 : x
  2. Step 2: Convert to fraction form
    65.83/98.72 = 31.57/x
  3. Step 3: Cross multiply
    65.83x = 98.72 × 31.57
  4. Step 4: Simplify right side
    65.83x = 3,116.59
  5. Step 5: Solve for x
    x = 3,116.59/65.83
  6. Step 6: Final answer
    x = 47.34

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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.