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Finding the Fourth Proportional to 60.93, 91.17 and 45.66

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Solution

The fourth proportional to 60.93, 91.17 and 45.66 is: 68.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.93 : 91.17 = 45.66 : x
  2. Step 2: Convert to fraction form
    60.93/91.17 = 45.66/x
  3. Step 3: Cross multiply
    60.93x = 91.17 × 45.66
  4. Step 4: Simplify right side
    60.93x = 4,162.82
  5. Step 5: Solve for x
    x = 4,162.82/60.93
  6. Step 6: Final answer
    x = 68.32

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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.