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Finding the Fourth Proportional to 72.02, 98.80 and 62.30

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Solution

The fourth proportional to 72.02, 98.80 and 62.30 is: 85.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.02 : 98.80 = 62.30 : x
  2. Step 2: Convert to fraction form
    72.02/98.80 = 62.30/x
  3. Step 3: Cross multiply
    72.02x = 98.80 × 62.30
  4. Step 4: Simplify right side
    72.02x = 6,155.24
  5. Step 5: Solve for x
    x = 6,155.24/72.02
  6. Step 6: Final answer
    x = 85.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.