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Finding the Fourth Proportional to 32.53, 48.78 and 9.70

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Solution

The fourth proportional to 32.53, 48.78 and 9.70 is: 14.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.53 : 48.78 = 9.70 : x
  2. Step 2: Convert to fraction form
    32.53/48.78 = 9.70/x
  3. Step 3: Cross multiply
    32.53x = 48.78 × 9.70
  4. Step 4: Simplify right side
    32.53x = 473.01
  5. Step 5: Solve for x
    x = 473.01/32.53
  6. Step 6: Final answer
    x = 14.54

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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.