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Finding the Fourth Proportional to 78.64, 117.76 and 65.12

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Solution

The fourth proportional to 78.64, 117.76 and 65.12 is: 97.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.64 : 117.76 = 65.12 : x
  2. Step 2: Convert to fraction form
    78.64/117.76 = 65.12/x
  3. Step 3: Cross multiply
    78.64x = 117.76 × 65.12
  4. Step 4: Simplify right side
    78.64x = 7,668.53
  5. Step 5: Solve for x
    x = 7,668.53/78.64
  6. Step 6: Final answer
    x = 97.51

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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.