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Finding the Fourth Proportional to 78.34, 108.06 and 52.06

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Solution

The fourth proportional to 78.34, 108.06 and 52.06 is: 71.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.34 : 108.06 = 52.06 : x
  2. Step 2: Convert to fraction form
    78.34/108.06 = 52.06/x
  3. Step 3: Cross multiply
    78.34x = 108.06 × 52.06
  4. Step 4: Simplify right side
    78.34x = 5,625.60
  5. Step 5: Solve for x
    x = 5,625.60/78.34
  6. Step 6: Final answer
    x = 71.81

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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.