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Finding the Fourth Proportional to 53.07, 79.92 and 46.39

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Solution

The fourth proportional to 53.07, 79.92 and 46.39 is: 69.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.07 : 79.92 = 46.39 : x
  2. Step 2: Convert to fraction form
    53.07/79.92 = 46.39/x
  3. Step 3: Cross multiply
    53.07x = 79.92 × 46.39
  4. Step 4: Simplify right side
    53.07x = 3,707.26
  5. Step 5: Solve for x
    x = 3,707.26/53.07
  6. Step 6: Final answer
    x = 69.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.