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Finding the Fourth Proportional to 65.26, 89.87 and 46.81

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Solution

The fourth proportional to 65.26, 89.87 and 46.81 is: 64.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.26 : 89.87 = 46.81 : x
  2. Step 2: Convert to fraction form
    65.26/89.87 = 46.81/x
  3. Step 3: Cross multiply
    65.26x = 89.87 × 46.81
  4. Step 4: Simplify right side
    65.26x = 4,206.36
  5. Step 5: Solve for x
    x = 4,206.36/65.26
  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.