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Finding the Fourth Proportional to 60.79, 91.23 and 53.50

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Solution

The fourth proportional to 60.79, 91.23 and 53.50 is: 80.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.79 : 91.23 = 53.50 : x
  2. Step 2: Convert to fraction form
    60.79/91.23 = 53.50/x
  3. Step 3: Cross multiply
    60.79x = 91.23 × 53.50
  4. Step 4: Simplify right side
    60.79x = 4,880.81
  5. Step 5: Solve for x
    x = 4,880.81/60.79
  6. Step 6: Final answer
    x = 80.29

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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.