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Finding the Fourth Proportional to 65.32, 90.10 and 43.47

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Solution

The fourth proportional to 65.32, 90.10 and 43.47 is: 59.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.32 : 90.10 = 43.47 : x
  2. Step 2: Convert to fraction form
    65.32/90.10 = 43.47/x
  3. Step 3: Cross multiply
    65.32x = 90.10 × 43.47
  4. Step 4: Simplify right side
    65.32x = 3,916.65
  5. Step 5: Solve for x
    x = 3,916.65/65.32
  6. Step 6: Final answer
    x = 59.96

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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.