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Finding the Fourth Proportional to 78.10, 107.73 and 47.02

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Solution

The fourth proportional to 78.10, 107.73 and 47.02 is: 64.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.10 : 107.73 = 47.02 : x
  2. Step 2: Convert to fraction form
    78.10/107.73 = 47.02/x
  3. Step 3: Cross multiply
    78.10x = 107.73 × 47.02
  4. Step 4: Simplify right side
    78.10x = 5,065.46
  5. Step 5: Solve for x
    x = 5,065.46/78.10
  6. Step 6: Final answer
    x = 64.86

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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.