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Finding the Fourth Proportional to 78.14, 117.21 and 52.06

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Solution

The fourth proportional to 78.14, 117.21 and 52.06 is: 78.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.14 : 117.21 = 52.06 : x
  2. Step 2: Convert to fraction form
    78.14/117.21 = 52.06/x
  3. Step 3: Cross multiply
    78.14x = 117.21 × 52.06
  4. Step 4: Simplify right side
    78.14x = 6,101.36
  5. Step 5: Solve for x
    x = 6,101.36/78.14
  6. Step 6: Final answer
    x = 78.08

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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.