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Finding the Fourth Proportional to 65.55, 90.43 and 39.31

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Solution

The fourth proportional to 65.55, 90.43 and 39.31 is: 54.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.55 : 90.43 = 39.31 : x
  2. Step 2: Convert to fraction form
    65.55/90.43 = 39.31/x
  3. Step 3: Cross multiply
    65.55x = 90.43 × 39.31
  4. Step 4: Simplify right side
    65.55x = 3,554.80
  5. Step 5: Solve for x
    x = 3,554.80/65.55
  6. Step 6: Final answer
    x = 54.23

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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.