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Finding the Fourth Proportional to 61.80, 93.11 and 53.80

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Solution

The fourth proportional to 61.80, 93.11 and 53.80 is: 81.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.80 : 93.11 = 53.80 : x
  2. Step 2: Convert to fraction form
    61.80/93.11 = 53.80/x
  3. Step 3: Cross multiply
    61.80x = 93.11 × 53.80
  4. Step 4: Simplify right side
    61.80x = 5,009.32
  5. Step 5: Solve for x
    x = 5,009.32/61.80
  6. Step 6: Final answer
    x = 81.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.