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Finding the Fourth Proportional to 106.77, 147.35 and 90.37

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Solution

The fourth proportional to 106.77, 147.35 and 90.37 is: 124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.77 : 147.35 = 90.37 : x
  2. Step 2: Convert to fraction form
    106.77/147.35 = 90.37/x
  3. Step 3: Cross multiply
    106.77x = 147.35 × 90.37
  4. Step 4: Simplify right side
    106.77x = 13,316.02
  5. Step 5: Solve for x
    x = 13,316.02/106.77
  6. Step 6: Final answer
    x = 124.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.