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Finding the Fourth Proportional to 5.03, 7.54 and 1.46

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Solution

The fourth proportional to 5.03, 7.54 and 1.46 is: 2.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.03 : 7.54 = 1.46 : x
  2. Step 2: Convert to fraction form
    5.03/7.54 = 1.46/x
  3. Step 3: Cross multiply
    5.03x = 7.54 × 1.46
  4. Step 4: Simplify right side
    5.03x = 11.02
  5. Step 5: Solve for x
    x = 11.02/5.03
  6. Step 6: Final answer
    x = 2.19

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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.