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Finding the Fourth Proportional to 65.31, 90.09 and 46.92

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Solution

The fourth proportional to 65.31, 90.09 and 46.92 is: 64.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.31 : 90.09 = 46.92 : x
  2. Step 2: Convert to fraction form
    65.31/90.09 = 46.92/x
  3. Step 3: Cross multiply
    65.31x = 90.09 × 46.92
  4. Step 4: Simplify right side
    65.31x = 4,227.02
  5. Step 5: Solve for x
    x = 4,227.02/65.31
  6. Step 6: Final answer
    x = 64.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.