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Finding the Fourth Proportional to 65.00, 89.68 and 38.77

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Solution

The fourth proportional to 65.00, 89.68 and 38.77 is: 53.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.00 : 89.68 = 38.77 : x
  2. Step 2: Convert to fraction form
    65.00/89.68 = 38.77/x
  3. Step 3: Cross multiply
    65.00x = 89.68 × 38.77
  4. Step 4: Simplify right side
    65.00x = 3,476.70
  5. Step 5: Solve for x
    x = 3,476.70/65.00
  6. Step 6: Final answer
    x = 53.49

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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.