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Finding the Fourth Proportional to 56.34, 77.58 and 55.19

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Solution

The fourth proportional to 56.34, 77.58 and 55.19 is: 75.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.34 : 77.58 = 55.19 : x
  2. Step 2: Convert to fraction form
    56.34/77.58 = 55.19/x
  3. Step 3: Cross multiply
    56.34x = 77.58 × 55.19
  4. Step 4: Simplify right side
    56.34x = 4,281.25
  5. Step 5: Solve for x
    x = 4,281.25/56.34
  6. Step 6: Final answer
    x = 75.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.