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Finding the Fourth Proportional to 65.10, 89.82 and 46.71

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Solution

The fourth proportional to 65.10, 89.82 and 46.71 is: 64.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.10 : 89.82 = 46.71 : x
  2. Step 2: Convert to fraction form
    65.10/89.82 = 46.71/x
  3. Step 3: Cross multiply
    65.10x = 89.82 × 46.71
  4. Step 4: Simplify right side
    65.10x = 4,195.49
  5. Step 5: Solve for x
    x = 4,195.49/65.10
  6. Step 6: Final answer
    x = 64.45

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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.