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Finding the Fourth Proportional to 68.95, 101.98 and 68.95

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Solution

The fourth proportional to 68.95, 101.98 and 68.95 is: 101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.95 : 101.98 = 68.95 : x
  2. Step 2: Convert to fraction form
    68.95/101.98 = 68.95/x
  3. Step 3: Cross multiply
    68.95x = 101.98 × 68.95
  4. Step 4: Simplify right side
    68.95x = 7,031.93
  5. Step 5: Solve for x
    x = 7,031.93/68.95
  6. Step 6: Final answer
    x = 101.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.