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Finding the Fourth Proportional to 65.10, 89.91 and 48.78

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Solution

The fourth proportional to 65.10, 89.91 and 48.78 is: 67.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.10 : 89.91 = 48.78 : x
  2. Step 2: Convert to fraction form
    65.10/89.91 = 48.78/x
  3. Step 3: Cross multiply
    65.10x = 89.91 × 48.78
  4. Step 4: Simplify right side
    65.10x = 4,385.81
  5. Step 5: Solve for x
    x = 4,385.81/65.10
  6. Step 6: Final answer
    x = 67.37

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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.