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Finding the Fourth Proportional to 78.03, 107.63 and 46.93

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Solution

The fourth proportional to 78.03, 107.63 and 46.93 is: 64.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.03 : 107.63 = 46.93 : x
  2. Step 2: Convert to fraction form
    78.03/107.63 = 46.93/x
  3. Step 3: Cross multiply
    78.03x = 107.63 × 46.93
  4. Step 4: Simplify right side
    78.03x = 5,050.92
  5. Step 5: Solve for x
    x = 5,050.92/78.03
  6. Step 6: Final answer
    x = 64.73

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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.