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Finding the Fourth Proportional to 76.05, 114.06 and 21.93

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Solution

The fourth proportional to 76.05, 114.06 and 21.93 is: 32.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.05 : 114.06 = 21.93 : x
  2. Step 2: Convert to fraction form
    76.05/114.06 = 21.93/x
  3. Step 3: Cross multiply
    76.05x = 114.06 × 21.93
  4. Step 4: Simplify right side
    76.05x = 2,501.34
  5. Step 5: Solve for x
    x = 2,501.34/76.05
  6. Step 6: Final answer
    x = 32.89

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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.