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Finding the Fourth Proportional to 110.88, 152.99 and 71.02

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Solution

The fourth proportional to 110.88, 152.99 and 71.02 is: 97.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.88 : 152.99 = 71.02 : x
  2. Step 2: Convert to fraction form
    110.88/152.99 = 71.02/x
  3. Step 3: Cross multiply
    110.88x = 152.99 × 71.02
  4. Step 4: Simplify right side
    110.88x = 10,864.23
  5. Step 5: Solve for x
    x = 10,864.23/110.88
  6. Step 6: Final answer
    x = 97.98

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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.