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Finding the Fourth Proportional to 76.16, 105.15 and 47.07

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Solution

The fourth proportional to 76.16, 105.15 and 47.07 is: 64.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.16 : 105.15 = 47.07 : x
  2. Step 2: Convert to fraction form
    76.16/105.15 = 47.07/x
  3. Step 3: Cross multiply
    76.16x = 105.15 × 47.07
  4. Step 4: Simplify right side
    76.16x = 4,949.41
  5. Step 5: Solve for x
    x = 4,949.41/76.16
  6. Step 6: Final answer
    x = 64.99

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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.