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Finding the Fourth Proportional to 5.37, 7.42 and 4.60

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Solution

The fourth proportional to 5.37, 7.42 and 4.60 is: 6.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.37 : 7.42 = 4.60 : x
  2. Step 2: Convert to fraction form
    5.37/7.42 = 4.60/x
  3. Step 3: Cross multiply
    5.37x = 7.42 × 4.60
  4. Step 4: Simplify right side
    5.37x = 34.14
  5. Step 5: Solve for x
    x = 34.14/5.37
  6. Step 6: Final answer
    x = 6.36

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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.