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Finding the Fourth Proportional to 78.45, 117.58 and 44.16

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Solution

The fourth proportional to 78.45, 117.58 and 44.16 is: 66.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.45 : 117.58 = 44.16 : x
  2. Step 2: Convert to fraction form
    78.45/117.58 = 44.16/x
  3. Step 3: Cross multiply
    78.45x = 117.58 × 44.16
  4. Step 4: Simplify right side
    78.45x = 5,192.33
  5. Step 5: Solve for x
    x = 5,192.33/78.45
  6. Step 6: Final answer
    x = 66.19

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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.