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Finding the Fourth Proportional to 76.16, 105.53 and 74.99

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Solution

The fourth proportional to 76.16, 105.53 and 74.99 is: 103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.16 : 105.53 = 74.99 : x
  2. Step 2: Convert to fraction form
    76.16/105.53 = 74.99/x
  3. Step 3: Cross multiply
    76.16x = 105.53 × 74.99
  4. Step 4: Simplify right side
    76.16x = 7,913.69
  5. Step 5: Solve for x
    x = 7,913.69/76.16
  6. Step 6: Final answer
    x = 103.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.