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Finding the Fourth Proportional to 60.10, 89.78 and 50.99

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Solution

The fourth proportional to 60.10, 89.78 and 50.99 is: 76.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.10 : 89.78 = 50.99 : x
  2. Step 2: Convert to fraction form
    60.10/89.78 = 50.99/x
  3. Step 3: Cross multiply
    60.10x = 89.78 × 50.99
  4. Step 4: Simplify right side
    60.10x = 4,577.18
  5. Step 5: Solve for x
    x = 4,577.18/60.10
  6. Step 6: Final answer
    x = 76.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.