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Finding the Fourth Proportional to 76.98, 106.20 and 64.02

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Solution

The fourth proportional to 76.98, 106.20 and 64.02 is: 88.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.98 : 106.20 = 64.02 : x
  2. Step 2: Convert to fraction form
    76.98/106.20 = 64.02/x
  3. Step 3: Cross multiply
    76.98x = 106.20 × 64.02
  4. Step 4: Simplify right side
    76.98x = 6,798.92
  5. Step 5: Solve for x
    x = 6,798.92/76.98
  6. Step 6: Final answer
    x = 88.32

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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.