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Finding the Fourth Proportional to 78.72, 108.64 and 51.08

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Solution

The fourth proportional to 78.72, 108.64 and 51.08 is: 70.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.72 : 108.64 = 51.08 : x
  2. Step 2: Convert to fraction form
    78.72/108.64 = 51.08/x
  3. Step 3: Cross multiply
    78.72x = 108.64 × 51.08
  4. Step 4: Simplify right side
    78.72x = 5,549.33
  5. Step 5: Solve for x
    x = 5,549.33/78.72
  6. Step 6: Final answer
    x = 70.49

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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.