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Finding the Fourth Proportional to 76.16, 105.10 and 43.42

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Solution

The fourth proportional to 76.16, 105.10 and 43.42 is: 59.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.16 : 105.10 = 43.42 : x
  2. Step 2: Convert to fraction form
    76.16/105.10 = 43.42/x
  3. Step 3: Cross multiply
    76.16x = 105.10 × 43.42
  4. Step 4: Simplify right side
    76.16x = 4,563.07
  5. Step 5: Solve for x
    x = 4,563.07/76.16
  6. Step 6: Final answer
    x = 59.91

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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.