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Finding the Fourth Proportional to 15.75, 23.56 and 9.70

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Solution

The fourth proportional to 15.75, 23.56 and 9.70 is: 14.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.75 : 23.56 = 9.70 : x
  2. Step 2: Convert to fraction form
    15.75/23.56 = 9.70/x
  3. Step 3: Cross multiply
    15.75x = 23.56 × 9.70
  4. Step 4: Simplify right side
    15.75x = 228.53
  5. Step 5: Solve for x
    x = 228.53/15.75
  6. Step 6: Final answer
    x = 14.51

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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.