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Finding the Fourth Proportional to 153.98, 212.50 and 88.50

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Solution

The fourth proportional to 153.98, 212.50 and 88.50 is: 122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.98 : 212.50 = 88.50 : x
  2. Step 2: Convert to fraction form
    153.98/212.50 = 88.50/x
  3. Step 3: Cross multiply
    153.98x = 212.50 × 88.50
  4. Step 4: Simplify right side
    153.98x = 18,806.31
  5. Step 5: Solve for x
    x = 18,806.31/153.98
  6. Step 6: Final answer
    x = 122.13

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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.