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Finding the Fourth Proportional to 56.53, 78.06 and 45.64

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Solution

The fourth proportional to 56.53, 78.06 and 45.64 is: 63.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.53 : 78.06 = 45.64 : x
  2. Step 2: Convert to fraction form
    56.53/78.06 = 45.64/x
  3. Step 3: Cross multiply
    56.53x = 78.06 × 45.64
  4. Step 4: Simplify right side
    56.53x = 3,562.66
  5. Step 5: Solve for x
    x = 3,562.66/56.53
  6. Step 6: Final answer
    x = 63.02

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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.