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Finding the Fourth Proportional to 78.90, 118.21 and 46.74

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Solution

The fourth proportional to 78.90, 118.21 and 46.74 is: 70.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.90 : 118.21 = 46.74 : x
  2. Step 2: Convert to fraction form
    78.90/118.21 = 46.74/x
  3. Step 3: Cross multiply
    78.90x = 118.21 × 46.74
  4. Step 4: Simplify right side
    78.90x = 5,525.14
  5. Step 5: Solve for x
    x = 5,525.14/78.90
  6. Step 6: Final answer
    x = 70.03

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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.