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Finding the Fourth Proportional to 53.61, 74.36 and 52.94

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Solution

The fourth proportional to 53.61, 74.36 and 52.94 is: 73.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.61 : 74.36 = 52.94 : x
  2. Step 2: Convert to fraction form
    53.61/74.36 = 52.94/x
  3. Step 3: Cross multiply
    53.61x = 74.36 × 52.94
  4. Step 4: Simplify right side
    53.61x = 3,935.98
  5. Step 5: Solve for x
    x = 3,935.98/53.61
  6. Step 6: Final answer
    x = 73.42

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.