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Finding the Fourth Proportional to 61.43, 84.51 and 53.19

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Solution

The fourth proportional to 61.43, 84.51 and 53.19 is: 73.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.43 : 84.51 = 53.19 : x
  2. Step 2: Convert to fraction form
    61.43/84.51 = 53.19/x
  3. Step 3: Cross multiply
    61.43x = 84.51 × 53.19
  4. Step 4: Simplify right side
    61.43x = 4,495.09
  5. Step 5: Solve for x
    x = 4,495.09/61.43
  6. Step 6: Final answer
    x = 73.18

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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.