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Finding the Fourth Proportional to 64.90, 97.35 and 35.20

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Solution

The fourth proportional to 64.90, 97.35 and 35.20 is: 52.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.90 : 97.35 = 35.20 : x
  2. Step 2: Convert to fraction form
    64.90/97.35 = 35.20/x
  3. Step 3: Cross multiply
    64.90x = 97.35 × 35.20
  4. Step 4: Simplify right side
    64.90x = 3,426.72
  5. Step 5: Solve for x
    x = 3,426.72/64.90
  6. Step 6: Final answer
    x = 52.80

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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.