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Finding the Fourth Proportional to 78.21, 117.09 and 62.13

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Solution

The fourth proportional to 78.21, 117.09 and 62.13 is: 93.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.21 : 117.09 = 62.13 : x
  2. Step 2: Convert to fraction form
    78.21/117.09 = 62.13/x
  3. Step 3: Cross multiply
    78.21x = 117.09 × 62.13
  4. Step 4: Simplify right side
    78.21x = 7,274.80
  5. Step 5: Solve for x
    x = 7,274.80/78.21
  6. Step 6: Final answer
    x = 93.02

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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.