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Finding the Fourth Proportional to 53.06, 72.45 and 52.70

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Solution

The fourth proportional to 53.06, 72.45 and 52.70 is: 71.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.06 : 72.45 = 52.70 : x
  2. Step 2: Convert to fraction form
    53.06/72.45 = 52.70/x
  3. Step 3: Cross multiply
    53.06x = 72.45 × 52.70
  4. Step 4: Simplify right side
    53.06x = 3,817.75
  5. Step 5: Solve for x
    x = 3,817.75/53.06
  6. Step 6: Final answer
    x = 71.96

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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.