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Finding the Fourth Proportional to 56.64, 78.56 and 52.58

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Solution

The fourth proportional to 56.64, 78.56 and 52.58 is: 72.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.64 : 78.56 = 52.58 : x
  2. Step 2: Convert to fraction form
    56.64/78.56 = 52.58/x
  3. Step 3: Cross multiply
    56.64x = 78.56 × 52.58
  4. Step 4: Simplify right side
    56.64x = 4,130.68
  5. Step 5: Solve for x
    x = 4,130.68/56.64
  6. Step 6: Final answer
    x = 72.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.