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Finding the Fourth Proportional to 65.40, 90.02 and 61.80

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Solution

The fourth proportional to 65.40, 90.02 and 61.80 is: 85.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.40 : 90.02 = 61.80 : x
  2. Step 2: Convert to fraction form
    65.40/90.02 = 61.80/x
  3. Step 3: Cross multiply
    65.40x = 90.02 × 61.80
  4. Step 4: Simplify right side
    65.40x = 5,563.24
  5. Step 5: Solve for x
    x = 5,563.24/65.40
  6. Step 6: Final answer
    x = 85.06

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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.