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Finding the Fourth Proportional to 107.10, 147.57 and 77.94

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Solution

The fourth proportional to 107.10, 147.57 and 77.94 is: 107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.10 : 147.57 = 77.94 : x
  2. Step 2: Convert to fraction form
    107.10/147.57 = 77.94/x
  3. Step 3: Cross multiply
    107.10x = 147.57 × 77.94
  4. Step 4: Simplify right side
    107.10x = 11,501.61
  5. Step 5: Solve for x
    x = 11,501.61/107.10
  6. Step 6: Final answer
    x = 107.39

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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.