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Finding the Fourth Proportional to 60.48, 90.77 and 37.67

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Solution

The fourth proportional to 60.48, 90.77 and 37.67 is: 56.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.48 : 90.77 = 37.67 : x
  2. Step 2: Convert to fraction form
    60.48/90.77 = 37.67/x
  3. Step 3: Cross multiply
    60.48x = 90.77 × 37.67
  4. Step 4: Simplify right side
    60.48x = 3,418.66
  5. Step 5: Solve for x
    x = 3,418.66/60.48
  6. Step 6: Final answer
    x = 56.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.