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Finding the Fourth Proportional to 53.12, 73 and 41.60

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Solution

The fourth proportional to 53.12, 73 and 41.60 is: 57.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.12 : 73 = 41.60 : x
  2. Step 2: Convert to fraction form
    53.12/73 = 41.60/x
  3. Step 3: Cross multiply
    53.12x = 73 × 41.60
  4. Step 4: Simplify right side
    53.12x = 3,036.80
  5. Step 5: Solve for x
    x = 3,036.80/53.12
  6. Step 6: Final answer
    x = 57.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.