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Finding the Fourth Proportional to 70.50, 105.76 and 32.02

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Solution

The fourth proportional to 70.50, 105.76 and 32.02 is: 48.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.50 : 105.76 = 32.02 : x
  2. Step 2: Convert to fraction form
    70.50/105.76 = 32.02/x
  3. Step 3: Cross multiply
    70.50x = 105.76 × 32.02
  4. Step 4: Simplify right side
    70.50x = 3,386.44
  5. Step 5: Solve for x
    x = 3,386.44/70.50
  6. Step 6: Final answer
    x = 48.03

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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.