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Finding the Fourth Proportional to 125.02, 171.98 and 120.02

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Solution

The fourth proportional to 125.02, 171.98 and 120.02 is: 165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.02 : 171.98 = 120.02 : x
  2. Step 2: Convert to fraction form
    125.02/171.98 = 120.02/x
  3. Step 3: Cross multiply
    125.02x = 171.98 × 120.02
  4. Step 4: Simplify right side
    125.02x = 20,641.00
  5. Step 5: Solve for x
    x = 20,641.00/125.02
  6. Step 6: Final answer
    x = 165.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.