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Finding the Fourth Proportional to 58.53, 87.76 and 22.45

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Solution

The fourth proportional to 58.53, 87.76 and 22.45 is: 33.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.53 : 87.76 = 22.45 : x
  2. Step 2: Convert to fraction form
    58.53/87.76 = 22.45/x
  3. Step 3: Cross multiply
    58.53x = 87.76 × 22.45
  4. Step 4: Simplify right side
    58.53x = 1,970.21
  5. Step 5: Solve for x
    x = 1,970.21/58.53
  6. Step 6: Final answer
    x = 33.66

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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.