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Finding the Fourth Proportional to 99.23, 148.78 and 47.77

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Solution

The fourth proportional to 99.23, 148.78 and 47.77 is: 71.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.23 : 148.78 = 47.77 : x
  2. Step 2: Convert to fraction form
    99.23/148.78 = 47.77/x
  3. Step 3: Cross multiply
    99.23x = 148.78 × 47.77
  4. Step 4: Simplify right side
    99.23x = 7,106.91
  5. Step 5: Solve for x
    x = 7,106.91/99.23
  6. Step 6: Final answer
    x = 71.62

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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.