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Finding the Fourth Proportional to 78.42, 117.52 and 75.07

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Solution

The fourth proportional to 78.42, 117.52 and 75.07 is: 112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.42 : 117.52 = 75.07 : x
  2. Step 2: Convert to fraction form
    78.42/117.52 = 75.07/x
  3. Step 3: Cross multiply
    78.42x = 117.52 × 75.07
  4. Step 4: Simplify right side
    78.42x = 8,822.23
  5. Step 5: Solve for x
    x = 8,822.23/78.42
  6. Step 6: Final answer
    x = 112.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.