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Finding the Fourth Proportional to 65.97, 90.99 and 57.60

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Solution

The fourth proportional to 65.97, 90.99 and 57.60 is: 79.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.97 : 90.99 = 57.60 : x
  2. Step 2: Convert to fraction form
    65.97/90.99 = 57.60/x
  3. Step 3: Cross multiply
    65.97x = 90.99 × 57.60
  4. Step 4: Simplify right side
    65.97x = 5,241.02
  5. Step 5: Solve for x
    x = 5,241.02/65.97
  6. Step 6: Final answer
    x = 79.45

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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.