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Finding the Fourth Proportional to 76.66, 105.79 and 42.16

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Solution

The fourth proportional to 76.66, 105.79 and 42.16 is: 58.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.66 : 105.79 = 42.16 : x
  2. Step 2: Convert to fraction form
    76.66/105.79 = 42.16/x
  3. Step 3: Cross multiply
    76.66x = 105.79 × 42.16
  4. Step 4: Simplify right side
    76.66x = 4,459.53
  5. Step 5: Solve for x
    x = 4,459.53/76.66
  6. Step 6: Final answer
    x = 58.18

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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.