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Finding the Fourth Proportional to 76.45, 114.54 and 46.03

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Solution

The fourth proportional to 76.45, 114.54 and 46.03 is: 68.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.45 : 114.54 = 46.03 : x
  2. Step 2: Convert to fraction form
    76.45/114.54 = 46.03/x
  3. Step 3: Cross multiply
    76.45x = 114.54 × 46.03
  4. Step 4: Simplify right side
    76.45x = 5,272.28
  5. Step 5: Solve for x
    x = 5,272.28/76.45
  6. Step 6: Final answer
    x = 68.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.