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Finding the Fourth Proportional to 25.40, 35.04 and 14.48

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Solution

The fourth proportional to 25.40, 35.04 and 14.48 is: 19.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.40 : 35.04 = 14.48 : x
  2. Step 2: Convert to fraction form
    25.40/35.04 = 14.48/x
  3. Step 3: Cross multiply
    25.40x = 35.04 × 14.48
  4. Step 4: Simplify right side
    25.40x = 507.47
  5. Step 5: Solve for x
    x = 507.47/25.40
  6. Step 6: Final answer
    x = 19.98

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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.