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Finding the Fourth Proportional to 65.42, 98.01 and 45.06

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Solution

The fourth proportional to 65.42, 98.01 and 45.06 is: 67.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.42 : 98.01 = 45.06 : x
  2. Step 2: Convert to fraction form
    65.42/98.01 = 45.06/x
  3. Step 3: Cross multiply
    65.42x = 98.01 × 45.06
  4. Step 4: Simplify right side
    65.42x = 4,416.33
  5. Step 5: Solve for x
    x = 4,416.33/65.42
  6. Step 6: Final answer
    x = 67.51

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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.