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Finding the Fourth Proportional to 65.54, 90.47 and 37.92

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Solution

The fourth proportional to 65.54, 90.47 and 37.92 is: 52.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.54 : 90.47 = 37.92 : x
  2. Step 2: Convert to fraction form
    65.54/90.47 = 37.92/x
  3. Step 3: Cross multiply
    65.54x = 90.47 × 37.92
  4. Step 4: Simplify right side
    65.54x = 3,430.72
  5. Step 5: Solve for x
    x = 3,430.72/65.54
  6. Step 6: Final answer
    x = 52.34

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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.