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Finding the Fourth Proportional to 76.93, 106.07 and 71.46

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Solution

The fourth proportional to 76.93, 106.07 and 71.46 is: 98.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.93 : 106.07 = 71.46 : x
  2. Step 2: Convert to fraction form
    76.93/106.07 = 71.46/x
  3. Step 3: Cross multiply
    76.93x = 106.07 × 71.46
  4. Step 4: Simplify right side
    76.93x = 7,579.81
  5. Step 5: Solve for x
    x = 7,579.81/76.93
  6. Step 6: Final answer
    x = 98.53

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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.