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Finding the Fourth Proportional to 91.50, 137.04 and 71.16

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Solution

The fourth proportional to 91.50, 137.04 and 71.16 is: 106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.50 : 137.04 = 71.16 : x
  2. Step 2: Convert to fraction form
    91.50/137.04 = 71.16/x
  3. Step 3: Cross multiply
    91.50x = 137.04 × 71.16
  4. Step 4: Simplify right side
    91.50x = 9,751.77
  5. Step 5: Solve for x
    x = 9,751.77/91.50
  6. Step 6: Final answer
    x = 106.58

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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.