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Finding the Fourth Proportional to 78.06, 107.70 and 53.52

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Solution

The fourth proportional to 78.06, 107.70 and 53.52 is: 73.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.06 : 107.70 = 53.52 : x
  2. Step 2: Convert to fraction form
    78.06/107.70 = 53.52/x
  3. Step 3: Cross multiply
    78.06x = 107.70 × 53.52
  4. Step 4: Simplify right side
    78.06x = 5,764.10
  5. Step 5: Solve for x
    x = 5,764.10/78.06
  6. Step 6: Final answer
    x = 73.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.