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Finding the Fourth Proportional to 76.26, 105.22 and 47.16

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Solution

The fourth proportional to 76.26, 105.22 and 47.16 is: 65.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.26 : 105.22 = 47.16 : x
  2. Step 2: Convert to fraction form
    76.26/105.22 = 47.16/x
  3. Step 3: Cross multiply
    76.26x = 105.22 × 47.16
  4. Step 4: Simplify right side
    76.26x = 4,962.18
  5. Step 5: Solve for x
    x = 4,962.18/76.26
  6. Step 6: Final answer
    x = 65.07

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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.