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Finding the Fourth Proportional to 106.95, 147.46 and 90.32

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Solution

The fourth proportional to 106.95, 147.46 and 90.32 is: 124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.95 : 147.46 = 90.32 : x
  2. Step 2: Convert to fraction form
    106.95/147.46 = 90.32/x
  3. Step 3: Cross multiply
    106.95x = 147.46 × 90.32
  4. Step 4: Simplify right side
    106.95x = 13,319.40
  5. Step 5: Solve for x
    x = 13,319.40/106.95
  6. Step 6: Final answer
    x = 124.54

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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.