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Finding the Fourth Proportional to 78.42, 117.50 and 48.02

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Solution

The fourth proportional to 78.42, 117.50 and 48.02 is: 71.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.42 : 117.50 = 48.02 : x
  2. Step 2: Convert to fraction form
    78.42/117.50 = 48.02/x
  3. Step 3: Cross multiply
    78.42x = 117.50 × 48.02
  4. Step 4: Simplify right side
    78.42x = 5,642.35
  5. Step 5: Solve for x
    x = 5,642.35/78.42
  6. Step 6: Final answer
    x = 71.95

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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.