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Finding the Fourth Proportional to 65.12, 89.66 and 57.35

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Solution

The fourth proportional to 65.12, 89.66 and 57.35 is: 78.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.12 : 89.66 = 57.35 : x
  2. Step 2: Convert to fraction form
    65.12/89.66 = 57.35/x
  3. Step 3: Cross multiply
    65.12x = 89.66 × 57.35
  4. Step 4: Simplify right side
    65.12x = 5,141.55
  5. Step 5: Solve for x
    x = 5,141.55/65.12
  6. Step 6: Final answer
    x = 78.96

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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.