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Finding the Fourth Proportional to 78.17, 117.21 and 32.50

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Solution

The fourth proportional to 78.17, 117.21 and 32.50 is: 48.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.17 : 117.21 = 32.50 : x
  2. Step 2: Convert to fraction form
    78.17/117.21 = 32.50/x
  3. Step 3: Cross multiply
    78.17x = 117.21 × 32.50
  4. Step 4: Simplify right side
    78.17x = 3,808.74
  5. Step 5: Solve for x
    x = 3,808.74/78.17
  6. Step 6: Final answer
    x = 48.72

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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.