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Finding the Fourth Proportional to 35.61, 53.06 and 34.66

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Solution

The fourth proportional to 35.61, 53.06 and 34.66 is: 51.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.61 : 53.06 = 34.66 : x
  2. Step 2: Convert to fraction form
    35.61/53.06 = 34.66/x
  3. Step 3: Cross multiply
    35.61x = 53.06 × 34.66
  4. Step 4: Simplify right side
    35.61x = 1,839.06
  5. Step 5: Solve for x
    x = 1,839.06/35.61
  6. Step 6: Final answer
    x = 51.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.