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Finding the Fourth Proportional to 78.21, 117.31 and 51.10

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Solution

The fourth proportional to 78.21, 117.31 and 51.10 is: 76.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.21 : 117.31 = 51.10 : x
  2. Step 2: Convert to fraction form
    78.21/117.31 = 51.10/x
  3. Step 3: Cross multiply
    78.21x = 117.31 × 51.10
  4. Step 4: Simplify right side
    78.21x = 5,994.12
  5. Step 5: Solve for x
    x = 5,994.12/78.21
  6. Step 6: Final answer
    x = 76.64

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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.