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Finding the Fourth Proportional to 76.94, 106.12 and 52.34

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Solution

The fourth proportional to 76.94, 106.12 and 52.34 is: 72.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.94 : 106.12 = 52.34 : x
  2. Step 2: Convert to fraction form
    76.94/106.12 = 52.34/x
  3. Step 3: Cross multiply
    76.94x = 106.12 × 52.34
  4. Step 4: Simplify right side
    76.94x = 5,554.32
  5. Step 5: Solve for x
    x = 5,554.32/76.94
  6. Step 6: Final answer
    x = 72.19

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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.