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Finding the Fourth Proportional to 65.07, 89.84 and 41.45

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Solution

The fourth proportional to 65.07, 89.84 and 41.45 is: 57.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.07 : 89.84 = 41.45 : x
  2. Step 2: Convert to fraction form
    65.07/89.84 = 41.45/x
  3. Step 3: Cross multiply
    65.07x = 89.84 × 41.45
  4. Step 4: Simplify right side
    65.07x = 3,723.42
  5. Step 5: Solve for x
    x = 3,723.42/65.07
  6. Step 6: Final answer
    x = 57.22

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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.