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Finding the Fourth Proportional to 99.90, 148.83 and 96.23

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Solution

The fourth proportional to 99.90, 148.83 and 96.23 is: 143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.90 : 148.83 = 96.23 : x
  2. Step 2: Convert to fraction form
    99.90/148.83 = 96.23/x
  3. Step 3: Cross multiply
    99.90x = 148.83 × 96.23
  4. Step 4: Simplify right side
    99.90x = 14,321.77
  5. Step 5: Solve for x
    x = 14,321.77/99.90
  6. Step 6: Final answer
    x = 143.36

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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.