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Finding the Fourth Proportional to 65.10, 89.76 and 57.73

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Solution

The fourth proportional to 65.10, 89.76 and 57.73 is: 79.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.10 : 89.76 = 57.73 : x
  2. Step 2: Convert to fraction form
    65.10/89.76 = 57.73/x
  3. Step 3: Cross multiply
    65.10x = 89.76 × 57.73
  4. Step 4: Simplify right side
    65.10x = 5,181.44
  5. Step 5: Solve for x
    x = 5,181.44/65.10
  6. Step 6: Final answer
    x = 79.60

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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.