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Finding the Fourth Proportional to 71.51, 99.14 and 69.01

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Solution

The fourth proportional to 71.51, 99.14 and 69.01 is: 95.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.51 : 99.14 = 69.01 : x
  2. Step 2: Convert to fraction form
    71.51/99.14 = 69.01/x
  3. Step 3: Cross multiply
    71.51x = 99.14 × 69.01
  4. Step 4: Simplify right side
    71.51x = 6,841.16
  5. Step 5: Solve for x
    x = 6,841.16/71.51
  6. Step 6: Final answer
    x = 95.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.