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Finding the Fourth Proportional to 53.51, 73.94 and 46.22

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Solution

The fourth proportional to 53.51, 73.94 and 46.22 is: 63.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.51 : 73.94 = 46.22 : x
  2. Step 2: Convert to fraction form
    53.51/73.94 = 46.22/x
  3. Step 3: Cross multiply
    53.51x = 73.94 × 46.22
  4. Step 4: Simplify right side
    53.51x = 3,416.91
  5. Step 5: Solve for x
    x = 3,416.91/53.51
  6. Step 6: Final answer
    x = 63.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.