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Finding the Fourth Proportional to 65.54, 90.44 and 37.91

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Solution

The fourth proportional to 65.54, 90.44 and 37.91 is: 52.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.54 : 90.44 = 37.91 : x
  2. Step 2: Convert to fraction form
    65.54/90.44 = 37.91/x
  3. Step 3: Cross multiply
    65.54x = 90.44 × 37.91
  4. Step 4: Simplify right side
    65.54x = 3,428.90
  5. Step 5: Solve for x
    x = 3,428.90/65.54
  6. Step 6: Final answer
    x = 52.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.