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Finding the Fourth Proportional to 120.98, 181.40 and 56.02

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Solution

The fourth proportional to 120.98, 181.40 and 56.02 is: 84.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.98 : 181.40 = 56.02 : x
  2. Step 2: Convert to fraction form
    120.98/181.40 = 56.02/x
  3. Step 3: Cross multiply
    120.98x = 181.40 × 56.02
  4. Step 4: Simplify right side
    120.98x = 10,162.03
  5. Step 5: Solve for x
    x = 10,162.03/120.98
  6. Step 6: Final answer
    x = 84.00

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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.