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Finding the Fourth Proportional to 96.77, 145.07 and 71.06

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Solution

The fourth proportional to 96.77, 145.07 and 71.06 is: 106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.77 : 145.07 = 71.06 : x
  2. Step 2: Convert to fraction form
    96.77/145.07 = 71.06/x
  3. Step 3: Cross multiply
    96.77x = 145.07 × 71.06
  4. Step 4: Simplify right side
    96.77x = 10,307.96
  5. Step 5: Solve for x
    x = 10,307.96/96.77
  6. Step 6: Final answer
    x = 106.52

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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.