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Finding the Fourth Proportional to 53.84, 79.63 and 53.84

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Solution

The fourth proportional to 53.84, 79.63 and 53.84 is: 79.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.84 : 79.63 = 53.84 : x
  2. Step 2: Convert to fraction form
    53.84/79.63 = 53.84/x
  3. Step 3: Cross multiply
    53.84x = 79.63 × 53.84
  4. Step 4: Simplify right side
    53.84x = 4,287.28
  5. Step 5: Solve for x
    x = 4,287.28/53.84
  6. Step 6: Final answer
    x = 79.63

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.