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Finding the Fourth Proportional to 42.90, 64.26 and 35.25

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Solution

The fourth proportional to 42.90, 64.26 and 35.25 is: 52.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.90 : 64.26 = 35.25 : x
  2. Step 2: Convert to fraction form
    42.90/64.26 = 35.25/x
  3. Step 3: Cross multiply
    42.90x = 64.26 × 35.25
  4. Step 4: Simplify right side
    42.90x = 2,265.17
  5. Step 5: Solve for x
    x = 2,265.17/42.90
  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.