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Finding the Fourth Proportional to 9.70, 14.55 and 2.94

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Solution

The fourth proportional to 9.70, 14.55 and 2.94 is: 4.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.70 : 14.55 = 2.94 : x
  2. Step 2: Convert to fraction form
    9.70/14.55 = 2.94/x
  3. Step 3: Cross multiply
    9.70x = 14.55 × 2.94
  4. Step 4: Simplify right side
    9.70x = 42.72
  5. Step 5: Solve for x
    x = 42.72/9.70
  6. Step 6: Final answer
    x = 4.41

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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.