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Finding the Fourth Proportional to 156.98, 235.48 and 84.80

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Solution

The fourth proportional to 156.98, 235.48 and 84.80 is: 127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.98 : 235.48 = 84.80 : x
  2. Step 2: Convert to fraction form
    156.98/235.48 = 84.80/x
  3. Step 3: Cross multiply
    156.98x = 235.48 × 84.80
  4. Step 4: Simplify right side
    156.98x = 19,968.70
  5. Step 5: Solve for x
    x = 19,968.70/156.98
  6. Step 6: Final answer
    x = 127.21

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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.