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Finding the Fourth Proportional to 76.95, 106.10 and 60.51

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Solution

The fourth proportional to 76.95, 106.10 and 60.51 is: 83.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.95 : 106.10 = 60.51 : x
  2. Step 2: Convert to fraction form
    76.95/106.10 = 60.51/x
  3. Step 3: Cross multiply
    76.95x = 106.10 × 60.51
  4. Step 4: Simplify right side
    76.95x = 6,419.81
  5. Step 5: Solve for x
    x = 6,419.81/76.95
  6. Step 6: Final answer
    x = 83.43

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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.