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Finding the Fourth Proportional to 65.41, 90.26 and 40.84

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Solution

The fourth proportional to 65.41, 90.26 and 40.84 is: 56.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.41 : 90.26 = 40.84 : x
  2. Step 2: Convert to fraction form
    65.41/90.26 = 40.84/x
  3. Step 3: Cross multiply
    65.41x = 90.26 × 40.84
  4. Step 4: Simplify right side
    65.41x = 3,685.94
  5. Step 5: Solve for x
    x = 3,685.94/65.41
  6. Step 6: Final answer
    x = 56.35

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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.