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Finding the Fourth Proportional to 105.64, 157.84 and 78.52

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Solution

The fourth proportional to 105.64, 157.84 and 78.52 is: 117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.64 : 157.84 = 78.52 : x
  2. Step 2: Convert to fraction form
    105.64/157.84 = 78.52/x
  3. Step 3: Cross multiply
    105.64x = 157.84 × 78.52
  4. Step 4: Simplify right side
    105.64x = 12,393.60
  5. Step 5: Solve for x
    x = 12,393.60/105.64
  6. Step 6: Final answer
    x = 117.32

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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.