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Finding the Fourth Proportional to 76.34, 114.04 and 65.45

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Solution

The fourth proportional to 76.34, 114.04 and 65.45 is: 97.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.34 : 114.04 = 65.45 : x
  2. Step 2: Convert to fraction form
    76.34/114.04 = 65.45/x
  3. Step 3: Cross multiply
    76.34x = 114.04 × 65.45
  4. Step 4: Simplify right side
    76.34x = 7,464.28
  5. Step 5: Solve for x
    x = 7,464.28/76.34
  6. Step 6: Final answer
    x = 97.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.