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Finding the Fourth Proportional to 65.63, 90.57 and 37.98

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Solution

The fourth proportional to 65.63, 90.57 and 37.98 is: 52.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.63 : 90.57 = 37.98 : x
  2. Step 2: Convert to fraction form
    65.63/90.57 = 37.98/x
  3. Step 3: Cross multiply
    65.63x = 90.57 × 37.98
  4. Step 4: Simplify right side
    65.63x = 3,439.85
  5. Step 5: Solve for x
    x = 3,439.85/65.63
  6. Step 6: Final answer
    x = 52.41

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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.