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Finding the Fourth Proportional to 99.35, 149.00 and 56.00

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Solution

The fourth proportional to 99.35, 149.00 and 56.00 is: 83.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.35 : 149.00 = 56.00 : x
  2. Step 2: Convert to fraction form
    99.35/149.00 = 56.00/x
  3. Step 3: Cross multiply
    99.35x = 149.00 × 56.00
  4. Step 4: Simplify right side
    99.35x = 8,342.98
  5. Step 5: Solve for x
    x = 8,342.98/99.35
  6. Step 6: Final answer
    x = 83.98

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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.