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Finding the Fourth Proportional to 95.34, 143.02 and 37.57

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Solution

The fourth proportional to 95.34, 143.02 and 37.57 is: 56.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.34 : 143.02 = 37.57 : x
  2. Step 2: Convert to fraction form
    95.34/143.02 = 37.57/x
  3. Step 3: Cross multiply
    95.34x = 143.02 × 37.57
  4. Step 4: Simplify right side
    95.34x = 5,372.55
  5. Step 5: Solve for x
    x = 5,372.55/95.34
  6. Step 6: Final answer
    x = 56.35

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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.