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Finding the Fourth Proportional to 78.53, 117.73 and 51.64

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Solution

The fourth proportional to 78.53, 117.73 and 51.64 is: 77.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.53 : 117.73 = 51.64 : x
  2. Step 2: Convert to fraction form
    78.53/117.73 = 51.64/x
  3. Step 3: Cross multiply
    78.53x = 117.73 × 51.64
  4. Step 4: Simplify right side
    78.53x = 6,079.58
  5. Step 5: Solve for x
    x = 6,079.58/78.53
  6. Step 6: Final answer
    x = 77.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.