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Finding the Fourth Proportional to 65.34, 90.13 and 42.02

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Solution

The fourth proportional to 65.34, 90.13 and 42.02 is: 57.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.34 : 90.13 = 42.02 : x
  2. Step 2: Convert to fraction form
    65.34/90.13 = 42.02/x
  3. Step 3: Cross multiply
    65.34x = 90.13 × 42.02
  4. Step 4: Simplify right side
    65.34x = 3,786.60
  5. Step 5: Solve for x
    x = 3,786.60/65.34
  6. Step 6: Final answer
    x = 57.95

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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.