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Finding the Fourth Proportional to 5.53, 7.58 and 5.19

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Solution

The fourth proportional to 5.53, 7.58 and 5.19 is: 7.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.53 : 7.58 = 5.19 : x
  2. Step 2: Convert to fraction form
    5.53/7.58 = 5.19/x
  3. Step 3: Cross multiply
    5.53x = 7.58 × 5.19
  4. Step 4: Simplify right side
    5.53x = 39.34
  5. Step 5: Solve for x
    x = 39.34/5.53
  6. Step 6: Final answer
    x = 7.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.