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Finding the Fourth Proportional to 53.02, 72.67 and 52.41

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Solution

The fourth proportional to 53.02, 72.67 and 52.41 is: 71.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.02 : 72.67 = 52.41 : x
  2. Step 2: Convert to fraction form
    53.02/72.67 = 52.41/x
  3. Step 3: Cross multiply
    53.02x = 72.67 × 52.41
  4. Step 4: Simplify right side
    53.02x = 3,808.63
  5. Step 5: Solve for x
    x = 3,808.63/53.02
  6. Step 6: Final answer
    x = 71.83

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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.