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Finding the Fourth Proportional to 60.95, 92.14 and 60.95

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Solution

The fourth proportional to 60.95, 92.14 and 60.95 is: 92.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.95 : 92.14 = 60.95 : x
  2. Step 2: Convert to fraction form
    60.95/92.14 = 60.95/x
  3. Step 3: Cross multiply
    60.95x = 92.14 × 60.95
  4. Step 4: Simplify right side
    60.95x = 5,616.01
  5. Step 5: Solve for x
    x = 5,616.01/60.95
  6. Step 6: Final answer
    x = 92.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.