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Finding the Fourth Proportional to 58.61, 87.26 and 56.31

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Solution

The fourth proportional to 58.61, 87.26 and 56.31 is: 83.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.61 : 87.26 = 56.31 : x
  2. Step 2: Convert to fraction form
    58.61/87.26 = 56.31/x
  3. Step 3: Cross multiply
    58.61x = 87.26 × 56.31
  4. Step 4: Simplify right side
    58.61x = 4,913.33
  5. Step 5: Solve for x
    x = 4,913.33/58.61
  6. Step 6: Final answer
    x = 83.84

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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.