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Finding the Fourth Proportional to 99.90, 149.78 and 45.83

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Solution

The fourth proportional to 99.90, 149.78 and 45.83 is: 68.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.90 : 149.78 = 45.83 : x
  2. Step 2: Convert to fraction form
    99.90/149.78 = 45.83/x
  3. Step 3: Cross multiply
    99.90x = 149.78 × 45.83
  4. Step 4: Simplify right side
    99.90x = 6,864.91
  5. Step 5: Solve for x
    x = 6,864.91/99.90
  6. Step 6: Final answer
    x = 68.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.