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Finding the Fourth Proportional to 95.06, 142.57 and 37.29

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Solution

The fourth proportional to 95.06, 142.57 and 37.29 is: 55.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.06 : 142.57 = 37.29 : x
  2. Step 2: Convert to fraction form
    95.06/142.57 = 37.29/x
  3. Step 3: Cross multiply
    95.06x = 142.57 × 37.29
  4. Step 4: Simplify right side
    95.06x = 5,317.02
  5. Step 5: Solve for x
    x = 5,317.02/95.06
  6. Step 6: Final answer
    x = 55.93

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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.