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Finding the Fourth Proportional to 65.79, 90.79 and 41.24

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Solution

The fourth proportional to 65.79, 90.79 and 41.24 is: 56.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.79 : 90.79 = 41.24 : x
  2. Step 2: Convert to fraction form
    65.79/90.79 = 41.24/x
  3. Step 3: Cross multiply
    65.79x = 90.79 × 41.24
  4. Step 4: Simplify right side
    65.79x = 3,744.18
  5. Step 5: Solve for x
    x = 3,744.18/65.79
  6. Step 6: Final answer
    x = 56.91

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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.