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Finding the Fourth Proportional to 78.06, 107.71 and 45.31

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Solution

The fourth proportional to 78.06, 107.71 and 45.31 is: 62.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.06 : 107.71 = 45.31 : x
  2. Step 2: Convert to fraction form
    78.06/107.71 = 45.31/x
  3. Step 3: Cross multiply
    78.06x = 107.71 × 45.31
  4. Step 4: Simplify right side
    78.06x = 4,880.11
  5. Step 5: Solve for x
    x = 4,880.11/78.06
  6. Step 6: Final answer
    x = 62.52

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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.