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Finding the Fourth Proportional to 53.61, 73.98 and 30.30

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Solution

The fourth proportional to 53.61, 73.98 and 30.30 is: 41.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.61 : 73.98 = 30.30 : x
  2. Step 2: Convert to fraction form
    53.61/73.98 = 30.30/x
  3. Step 3: Cross multiply
    53.61x = 73.98 × 30.30
  4. Step 4: Simplify right side
    53.61x = 2,241.87
  5. Step 5: Solve for x
    x = 2,241.87/53.61
  6. Step 6: Final answer
    x = 41.82

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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.