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Finding the Fourth Proportional to 53.60, 73.96 and 30.29

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Solution

The fourth proportional to 53.60, 73.96 and 30.29 is: 41.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.60 : 73.96 = 30.29 : x
  2. Step 2: Convert to fraction form
    53.60/73.96 = 30.29/x
  3. Step 3: Cross multiply
    53.60x = 73.96 × 30.29
  4. Step 4: Simplify right side
    53.60x = 2,240.14
  5. Step 5: Solve for x
    x = 2,240.14/53.60
  6. Step 6: Final answer
    x = 41.80

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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.