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Finding the Fourth Proportional to 34.56, 51.60 and 34.16

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Solution

The fourth proportional to 34.56, 51.60 and 34.16 is: 51.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.56 : 51.60 = 34.16 : x
  2. Step 2: Convert to fraction form
    34.56/51.60 = 34.16/x
  3. Step 3: Cross multiply
    34.56x = 51.60 × 34.16
  4. Step 4: Simplify right side
    34.56x = 1,762.66
  5. Step 5: Solve for x
    x = 1,762.66/34.56
  6. Step 6: Final answer
    x = 51.00

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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.