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Finding the Fourth Proportional to 35, 52.54 and 29.06

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Solution

The fourth proportional to 35, 52.54 and 29.06 is: 43.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35 : 52.54 = 29.06 : x
  2. Step 2: Convert to fraction form
    35/52.54 = 29.06/x
  3. Step 3: Cross multiply
    35x = 52.54 × 29.06
  4. Step 4: Simplify right side
    35x = 1,526.81
  5. Step 5: Solve for x
    x = 1,526.81/35
  6. Step 6: Final answer
    x = 43.62

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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.