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Finding the Fourth Proportional to 99, 147.60 and 92.88

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Solution

The fourth proportional to 99, 147.60 and 92.88 is: 138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99 : 147.60 = 92.88 : x
  2. Step 2: Convert to fraction form
    99/147.60 = 92.88/x
  3. Step 3: Cross multiply
    99x = 147.60 × 92.88
  4. Step 4: Simplify right side
    99x = 13,709.09
  5. Step 5: Solve for x
    x = 13,709.09/99
  6. Step 6: Final answer
    x = 138.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.