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Finding the Fourth Proportional to 76.03, 105.03 and 54.16

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Solution

The fourth proportional to 76.03, 105.03 and 54.16 is: 74.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.03 : 105.03 = 54.16 : x
  2. Step 2: Convert to fraction form
    76.03/105.03 = 54.16/x
  3. Step 3: Cross multiply
    76.03x = 105.03 × 54.16
  4. Step 4: Simplify right side
    76.03x = 5,688.42
  5. Step 5: Solve for x
    x = 5,688.42/76.03
  6. Step 6: Final answer
    x = 74.82

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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.