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Finding the Fourth Proportional to 65.42, 90.19 and 53.74

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Solution

The fourth proportional to 65.42, 90.19 and 53.74 is: 74.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.42 : 90.19 = 53.74 : x
  2. Step 2: Convert to fraction form
    65.42/90.19 = 53.74/x
  3. Step 3: Cross multiply
    65.42x = 90.19 × 53.74
  4. Step 4: Simplify right side
    65.42x = 4,846.65
  5. Step 5: Solve for x
    x = 4,846.65/65.42
  6. Step 6: Final answer
    x = 74.09

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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.