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Finding the Fourth Proportional to 60.93, 91.43 and 30.50

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Solution

The fourth proportional to 60.93, 91.43 and 30.50 is: 45.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.93 : 91.43 = 30.50 : x
  2. Step 2: Convert to fraction form
    60.93/91.43 = 30.50/x
  3. Step 3: Cross multiply
    60.93x = 91.43 × 30.50
  4. Step 4: Simplify right side
    60.93x = 2,788.01
  5. Step 5: Solve for x
    x = 2,788.01/60.93
  6. Step 6: Final answer
    x = 45.76

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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.