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Finding the Fourth Proportional to 90.29, 124.46 and 64.10

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Solution

The fourth proportional to 90.29, 124.46 and 64.10 is: 88.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.29 : 124.46 = 64.10 : x
  2. Step 2: Convert to fraction form
    90.29/124.46 = 64.10/x
  3. Step 3: Cross multiply
    90.29x = 124.46 × 64.10
  4. Step 4: Simplify right side
    90.29x = 7,977.42
  5. Step 5: Solve for x
    x = 7,977.42/90.29
  6. Step 6: Final answer
    x = 88.35

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