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Finding the Fourth Proportional to 35.40, 52.99 and 32.00

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Solution

The fourth proportional to 35.40, 52.99 and 32.00 is: 47.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.40 : 52.99 = 32.00 : x
  2. Step 2: Convert to fraction form
    35.40/52.99 = 32.00/x
  3. Step 3: Cross multiply
    35.40x = 52.99 × 32.00
  4. Step 4: Simplify right side
    35.40x = 1,695.34
  5. Step 5: Solve for x
    x = 1,695.34/35.40
  6. Step 6: Final answer
    x = 47.89

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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.