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Finding the Fourth Proportional to 62.56, 93.76 and 30.02

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Solution

The fourth proportional to 62.56, 93.76 and 30.02 is: 44.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.56 : 93.76 = 30.02 : x
  2. Step 2: Convert to fraction form
    62.56/93.76 = 30.02/x
  3. Step 3: Cross multiply
    62.56x = 93.76 × 30.02
  4. Step 4: Simplify right side
    62.56x = 2,814.68
  5. Step 5: Solve for x
    x = 2,814.68/62.56
  6. Step 6: Final answer
    x = 44.99

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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.