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Finding the Fourth Proportional to 56.06, 83.58 and 52.62

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Solution

The fourth proportional to 56.06, 83.58 and 52.62 is: 78.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.06 : 83.58 = 52.62 : x
  2. Step 2: Convert to fraction form
    56.06/83.58 = 52.62/x
  3. Step 3: Cross multiply
    56.06x = 83.58 × 52.62
  4. Step 4: Simplify right side
    56.06x = 4,398.18
  5. Step 5: Solve for x
    x = 4,398.18/56.06
  6. Step 6: Final answer
    x = 78.45

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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.