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Finding the Fourth Proportional to 89.95, 124.16 and 77.62

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Solution

The fourth proportional to 89.95, 124.16 and 77.62 is: 107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.95 : 124.16 = 77.62 : x
  2. Step 2: Convert to fraction form
    89.95/124.16 = 77.62/x
  3. Step 3: Cross multiply
    89.95x = 124.16 × 77.62
  4. Step 4: Simplify right side
    89.95x = 9,637.30
  5. Step 5: Solve for x
    x = 9,637.30/89.95
  6. Step 6: Final answer
    x = 107.14

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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.