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Finding the Fourth Proportional to 76.60, 105.40 and 65.64

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Solution

The fourth proportional to 76.60, 105.40 and 65.64 is: 90.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.60 : 105.40 = 65.64 : x
  2. Step 2: Convert to fraction form
    76.60/105.40 = 65.64/x
  3. Step 3: Cross multiply
    76.60x = 105.40 × 65.64
  4. Step 4: Simplify right side
    76.60x = 6,918.46
  5. Step 5: Solve for x
    x = 6,918.46/76.60
  6. Step 6: Final answer
    x = 90.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.