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Finding the Fourth Proportional to 71.16, 106.70 and 64.46

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Solution

The fourth proportional to 71.16, 106.70 and 64.46 is: 96.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.16 : 106.70 = 64.46 : x
  2. Step 2: Convert to fraction form
    71.16/106.70 = 64.46/x
  3. Step 3: Cross multiply
    71.16x = 106.70 × 64.46
  4. Step 4: Simplify right side
    71.16x = 6,877.88
  5. Step 5: Solve for x
    x = 6,877.88/71.16
  6. Step 6: Final answer
    x = 96.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.